3355885567800 has 288 divisors, whose sum is σ = 12561196143600. Its totient is φ = 797931786240.

The previous prime is 3355885567753. The next prime is 3355885567813. The reversal of 3355885567800 is 87655885533.

3355885567800 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 8 + 8 + 556 + 78 + 0 + 0 = 666.

It is a super-2 number, since 2×3355885567800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2304639 + ... + 3467438.

Almost surely, 2^{3355885567800} is an apocalyptic number.

3355885567800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3355885567800 is an abundant number, since it is smaller than the sum of its proper divisors (9205310575800).

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

3355885567800 is a wasteful number, since it uses less digits than its factorization.

3355885567800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772135 (or 5772123 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 3355885567800 in words is "three trillion, three hundred fifty-five billion, eight hundred eighty-five million, five hundred sixty-seven thousand, eight hundred".