3902357606400 has 1872 divisors, whose sum is σ = 16171070610240. Its totient is φ = 924726067200.

The previous prime is 3902357606387. The next prime is 3902357606443. The reversal of 3902357606400 is 46067532093.

3902357606400 is a `hidden beast` number, since 3 + 9 + 0 + 2 + 35 + 7 + 606 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 14506905466 + ... + 14506905734.

It is an arithmetic number, because the mean of its divisors is an integer number (8638392420).

Almost surely, 2^{3902357606400} is an apocalyptic number.

3902357606400 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 3902357606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085535305120).

3902357606400 is an abundant number, since it is smaller than the sum of its proper divisors (12268713003840).

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

3902357606400 is a wasteful number, since it uses less digits than its factorization.

3902357606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3902357606400 in words is "three trillion, nine hundred two billion, three hundred fifty-seven million, six hundred six thousand, four hundred".