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3379888890 = 2335717310337
BaseRepresentation
bin1100100101110101…
…0000001011111010
322201112212010221000
43021131100023322
523410222421030
61315214425430
7146520403320
oct31135201372
98645763830
103379888890
11148494a604
127a3b02276
1341b303c71
14240c53d10
1514bad3860
hexc97502fa

3379888890 has 128 divisors (see below), whose sum is σ = 10361157120. Its totient is φ = 768006144.

The previous prime is 3379888807. The next prime is 3379888903. The reversal of 3379888890 is 988889733.

3379888890 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33798888902 = 22847297817490864200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321802 + ... + 332138.

It is an arithmetic number, because the mean of its divisors is an integer number (80946540).

Almost surely, 23379888890 is an apocalyptic number.

3379888890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379888890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180578560).

3379888890 is an abundant number, since it is smaller than the sum of its proper divisors (6981268230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3379888890 is a wasteful number, since it uses less digits than its factorization.

3379888890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10533 (or 10527 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 3379888890 is about 58136.8118320914. The cubic root of 3379888890 is about 1500.7239305602.

The spelling of 3379888890 in words is "three billion, three hundred seventy-nine million, eight hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 173 189 210 270 315 346 378 519 630 865 945 1038 1211 1557 1730 1890 2422 2595 3114 3633 4671 5190 6055 7266 7785 9342 10337 10899 12110 15570 18165 20674 21798 23355 31011 32697 36330 46710 51685 54495 62022 65394 72359 93033 103370 108990 144718 155055 163485 186066 217077 279099 310110 326970 361795 434154 465165 558198 651231 723590 930330 1085385 1302462 1395495 1788301 1953693 2170770 2790990 3256155 3576602 3907386 5364903 6512310 8941505 9768465 10729806 12518107 16094709 17883010 19536930 25036214 26824515 32189418 37554321 48284127 53649030 62590535 75108642 80473545 96568254 112662963 125181070 160947090 187771605 225325926 241420635 337988889 375543210 482841270 563314815 675977778 1126629630 1689944445 3379888890