3978937670400 has 2916 divisors, whose sum is σ = 18584263780992. Its totient is φ = 808980480000.

The previous prime is 3978937670381. The next prime is 3978937670401. The reversal of 3978937670400 is 40767398793.

3978937670400 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 93 + 76 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3978937670401) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 20832134305 + ... + 20832134495.

Almost surely, 2^{3978937670400} is an apocalyptic number.

3978937670400 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 3978937670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292131890496).

3978937670400 is an abundant number, since it is smaller than the sum of its proper divisors (14605326110592).

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

3978937670400 is a wasteful number, since it uses less digits than its factorization.

3978937670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 3978937670400 in words is "three trillion, nine hundred seventy-eight billion, nine hundred thirty-seven million, six hundred seventy thousand, four hundred".