3946260859200 has 336 divisors, whose sum is σ = 15693364518720. Its totient is φ = 956669184000.

The previous prime is 3946260859199. The next prime is 3946260859217. The reversal of 3946260859200 is 29580626493.

It is a happy number.

3946260859200 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 2 + 608 + 5 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3677011 + ... + 4627410.

It is an arithmetic number, because the mean of its divisors is an integer number (46706442020).

Almost surely, 2^{3946260859200} is an apocalyptic number.

3946260859200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3946260859200 is an abundant number, since it is smaller than the sum of its proper divisors (11747103659520).

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

3946260859200 is a wasteful number, since it uses less digits than its factorization.

3946260859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304463 (or 8304442 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3946260859200 in words is "three trillion, nine hundred forty-six billion, two hundred sixty million, eight hundred fifty-nine thousand, two hundred".