386513618400 has 2304 divisors, whose sum is σ = 1870980249600. Its totient is φ = 74689413120.

The previous prime is 386513618363. The next prime is 386513618479. The reversal of 386513618400 is 4816315683.

386513618400 is a `hidden beast` number, since 3 + 86 + 513 + 6 + 18 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1436853466 + ... + 1436853734.

It is an arithmetic number, because the mean of its divisors is an integer number (812057400).

Almost surely, 2^386513618400 is an apocalyptic number.

386513618400 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 386513618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935490124800).

386513618400 is an abundant number, since it is smaller than the sum of its proper divisors (1484466631200).

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

386513618400 is a wasteful number, since it uses less digits than its factorization.

386513618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 386513618400 in words is "three hundred eighty-six billion, five hundred thirteen million, six hundred eighteen thousand, four hundred".