3976322918400 has 2592 divisors, whose sum is σ = 17989426728000. Its totient is φ = 851363758080.

The previous prime is 3976322918357. The next prime is 3976322918411. The reversal of 3976322918400 is 48192236793.

3976322918400 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 3 + 229 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×3976322918400² (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 an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44677785556 + ... + 44677785644.

It is an arithmetic number, because the mean of its divisors is an integer number (6940365250).

Almost surely, 2^{3976322918400} is an apocalyptic number.

3976322918400 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 3976322918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994713364000).

3976322918400 is an abundant number, since it is smaller than the sum of its proper divisors (14013103809600).

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

3976322918400 is an frugal number, since it uses more digits than its factorization.

3976322918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

3976322918400 divided by its product of nonzero digits (3919104) gives a triangular number (1014600 = T₁₄₂₄).

The spelling of 3976322918400 in words is "three trillion, nine hundred seventy-six billion, three hundred twenty-two million, nine hundred eighteen thousand, four hundred".