3402956088000 has 672 divisors, whose sum is σ = 14644180861440. Its totient is φ = 736878643200.

The previous prime is 3402956087977. The next prime is 3402956088017. The reversal of 3402956088000 is 8806592043.

3402956088000 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 9 + 560 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3402956088000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9398319 + ... + 9753681.

Almost surely, 2^{3402956088000} is an apocalyptic number.

3402956088000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402956088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322090430720).

3402956088000 is an abundant number, since it is smaller than the sum of its proper divisors (11241224773440).

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

3402956088000 is a wasteful number, since it uses less digits than its factorization.

3402956088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355422 (or 355399 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3402956088000 in words is "three trillion, four hundred two billion, nine hundred fifty-six million, eighty-eight thousand".