386009534400 has 1008 divisors, whose sum is σ = 1614129055200. Its totient is φ = 80153149440.

The previous prime is 386009534389. The next prime is 386009534419. The reversal of 386009534400 is 4435900683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 115951936 + ... + 115955264.

Almost surely, 2^386009534400 is an apocalyptic number.

386009534400 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 386009534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807064527600).

386009534400 is an abundant number, since it is smaller than the sum of its proper divisors (1228119520800).

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

386009534400 is a wasteful number, since it uses less digits than its factorization.

386009534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 386009534400 in words is "three hundred eighty-six billion, nine million, five hundred thirty-four thousand, four hundred".