386242214400 has 1200 divisors, whose sum is σ = 1720326231360. Its totient is φ = 83607552000.

The previous prime is 386242214389. The next prime is 386242214431. The reversal of 386242214400 is 4412242683.

386242214400 is a `hidden beast` number, since 3 + 8 + 6 + 24 + 221 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 137893000 + ... + 137895800.

Almost surely, 2^386242214400 is an apocalyptic number.

386242214400 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 386242214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860163115680).

386242214400 is an abundant number, since it is smaller than the sum of its proper divisors (1334084016960).

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

386242214400 is a wasteful number, since it uses less digits than its factorization.

386242214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 386242214400 in words is "three hundred eighty-six billion, two hundred forty-two million, two hundred fourteen thousand, four hundred".