386841600 has 396 divisors, whose sum is σ = 1465095216. Its totient is φ = 97320960.

The previous prime is 386841589. The next prime is 386841617. The reversal of 386841600 is 6148683.

It is a happy number.

386841600 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 41 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5299164 + ... + 5299236.

Almost surely, 2^386841600 is an apocalyptic number.

386841600 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 386841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732547608).

386841600 is an abundant number, since it is smaller than the sum of its proper divisors (1078253616).

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

386841600 is a wasteful number, since it uses less digits than its factorization.

386841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 386841600 is about 19668.2891986060. The cubic root of 386841600 is about 728.6367250754.

The spelling of 386841600 in words is "three hundred eighty-six million, eight hundred forty-one thousand, six hundred".