386967974400 has 1080 divisors, whose sum is σ = 1671272562960. Its totient is φ = 88414986240.

The previous prime is 386967974399. The next prime is 386967974401. The reversal of 386967974400 is 4479769683.

386967974400 is a `hidden beast` number, since 3 + 8 + 6 + 96 + 79 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (386967974399) and next prime (386967974401).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×386967974400² (a number of 24 digits) contains 22 as substring.

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 (386967974401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 152408331 + ... + 152410869.

Almost surely, 2^386967974400 is an apocalyptic number.

386967974400 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 386967974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835636281480).

386967974400 is an abundant number, since it is smaller than the sum of its proper divisors (1284304588560).

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

386967974400 is an equidigital number, since it uses as much as digits as its factorization.

386967974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 386967974400 in words is "three hundred eighty-six billion, nine hundred sixty-seven million, nine hundred seventy-four thousand, four hundred".