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3395601378 = 2331319213399
BaseRepresentation
bin1100101001100100…
…1100001111100010
322202122102102102000
43022121030033202
523423233221003
61320535304430
7150101064321
oct31231141742
98678372360
103395601378
111492801634
127a921b116
134216459b0
14242d840b8
1514d1891a3
hexca64c3e2

3395601378 has 96 divisors (see below), whose sum is σ = 8577072000. Its totient is φ = 989737056.

The previous prime is 3395601373. The next prime is 3395601383. The reversal of 3395601378 is 8731065933.

3395601378 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 601 + 37 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3395601373) and next prime (3395601383).

It is not an unprimeable number, because it can be changed into a prime (3395601373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246723 + ... + 260121.

It is an arithmetic number, because the mean of its divisors is an integer number (89344500).

Almost surely, 23395601378 is an apocalyptic number.

3395601378 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395601378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288536000).

3395601378 is an abundant number, since it is smaller than the sum of its proper divisors (5181470622).

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

3395601378 is a wasteful number, since it uses less digits than its factorization.

3395601378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461 (or 13436 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3395601378 is about 58271.7888690574. The cubic root of 3395601378 is about 1503.0458669434.

The spelling of 3395601378 in words is "three billion, three hundred ninety-five million, six hundred one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 361 494 513 702 722 741 1026 1083 1482 2166 2223 3249 4446 4693 6498 6669 9386 9747 13338 13399 14079 19494 26798 28158 40197 42237 80394 84474 120591 126711 174187 241182 253422 254581 348374 361773 509162 522561 723546 763743 1045122 1527486 1567683 2291229 3135366 3309553 4582458 4703049 4837039 6619106 6873687 9406098 9674078 9928659 13747374 14511117 19857318 29022234 29785977 43533351 59571954 62881507 87066702 89357931 125763014 130600053 178715862 188644521 261200106 377289042 565933563 1131867126 1697800689 3395601378