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3378212480 = 27537331431
BaseRepresentation
bin1100100101011011…
…0110111010000000
322201102200222022202
43021112312322000
523404310244410
61315114452332
7146500221656
oct31126667200
98642628282
103378212480
111483a05045
127a34340a8
1341ab67bc6
14240938dd6
1514b8a1ca5
hexc95b6e80

3378212480 has 128 divisors (see below), whose sum is σ = 8338671360. Its totient is φ = 1307750400.

The previous prime is 3378212479. The next prime is 3378212503. The reversal of 3378212480 is 842128733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33782124802 = 22824639120055500800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7837865 + ... + 7838295.

It is an arithmetic number, because the mean of its divisors is an integer number (65145870).

Almost surely, 23378212480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169335680).

3378212480 is an abundant number, since it is smaller than the sum of its proper divisors (4960458880).

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

3378212480 is a wasteful number, since it uses less digits than its factorization.

3378212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 3378212480 is about 58122.3922425772. The cubic root of 3378212480 is about 1500.4757720410.

The spelling of 3378212480 in words is "three billion, three hundred seventy-eight million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 331 370 431 592 640 662 740 862 1184 1324 1480 1655 1724 2155 2368 2648 2960 3310 3448 4310 4736 5296 5920 6620 6896 8620 10592 11840 12247 13240 13792 15947 17240 21184 23680 24494 26480 27584 31894 34480 42368 48988 52960 55168 61235 63788 68960 79735 97976 105920 122470 127576 137920 142661 159470 195952 211840 244940 255152 275840 285322 318940 391904 489880 510304 570644 637880 713305 783808 979760 1020608 1141288 1275760 1426610 1567616 1959520 2041216 2282576 2551520 2853220 3919040 4565152 5103040 5278457 5706440 7838080 9130304 10206080 10556914 11412880 18260608 21113828 22825760 26392285 42227656 45651520 52784570 84455312 91303040 105569140 168910624 211138280 337821248 422276560 675642496 844553120 1689106240 3378212480