3976716902400 has 3360 divisors, whose sum is σ = 17934336414720. Its totient is φ = 859963392000.

The previous prime is 3976716902383. The next prime is 3976716902429. The reversal of 3976716902400 is 42096176793.

It is a happy number.

3976716902400 is a `hidden beast` number, since 3 + 9 + 76 + 7 + 169 + 0 + 2 + 400 = 666.

It is a super-2 number, since 2×3976716902400² (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 107478835182 + ... + 107478835218.

Almost surely, 2^{3976716902400} is an apocalyptic number.

3976716902400 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 3976716902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967168207360).

3976716902400 is an abundant number, since it is smaller than the sum of its proper divisors (13957619512320).

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

3976716902400 is a wasteful number, since it uses less digits than its factorization.

3976716902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3976716902400 in words is "three trillion, nine hundred seventy-six billion, seven hundred sixteen million, nine hundred two thousand, four hundred".