3972306362400 has 216 divisors, whose sum is σ = 14176110639600. Its totient is φ = 1046519109120.

The previous prime is 3972306362393. The next prime is 3972306362449. The reversal of 3972306362400 is 42636032793.

3972306362400 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 3 + 0 + 636 + 2 + 4 + 0 + 0 = 666.

3972306362400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 2725950 + ... + 3921149.

It is an arithmetic number, because the mean of its divisors is an integer number (65630141850).

Almost surely, 2^{3972306362400} is an apocalyptic number.

3972306362400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3972306362400 is an abundant number, since it is smaller than the sum of its proper divisors (10203804277200).

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

3972306362400 is a wasteful number, since it uses less digits than its factorization.

3972306362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647208 (or 6647192 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 3972306362400 in words is "three trillion, nine hundred seventy-two billion, three hundred six million, three hundred sixty-two thousand, four hundred".