3938456401200 has 240 divisors, whose sum is σ = 14396853398560. Its totient is φ = 1021869665280.

The previous prime is 3938456401183. The next prime is 3938456401207. The reversal of 3938456401200 is 21046548393.

3938456401200 is a `hidden beast` number, since 3 + 9 + 3 + 84 + 564 + 0 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3938456401200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3938456401207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4528399 + ... + 5327598.

Almost surely, 2^{3938456401200} is an apocalyptic number.

3938456401200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3938456401200 is an abundant number, since it is smaller than the sum of its proper divisors (10458396997360).

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

3938456401200 is a wasteful number, since it uses less digits than its factorization.

3938456401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856061 (or 9856044 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3938456401200 in words is "three trillion, nine hundred thirty-eight billion, four hundred fifty-six million, four hundred one thousand, two hundred".