3976434892800 has 1440 divisors, whose sum is σ = 15512621295360. Its totient is φ = 1009023713280.

The previous prime is 3976434892763. The next prime is 3976434892813. The reversal of 3976434892800 is 82984346793.

3976434892800 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 4 + 348 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

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, 20603289504 + ... + 20603289696.

Almost surely, 2^{3976434892800} is an apocalyptic number.

3976434892800 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 3976434892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756310647680).

3976434892800 is an abundant number, since it is smaller than the sum of its proper divisors (11536186402560).

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

3976434892800 is an frugal number, since it uses more digits than its factorization.

3976434892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3976434892800 in words is "three trillion, nine hundred seventy-six billion, four hundred thirty-four million, eight hundred ninety-two thousand, eight hundred".