386296868160 has 672 divisors, whose sum is σ = 1561418906112. Its totient is φ = 85837086720.

The previous prime is 386296868131. The next prime is 386296868183. The reversal of 386296868160 is 61868692683.

386296868160 is a `hidden beast` number, since 386 + 2 + 96 + 8 + 6 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104487432 + ... + 104491128.

Almost surely, 2^386296868160 is an apocalyptic number.

386296868160 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 386296868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780709453056).

386296868160 is an abundant number, since it is smaller than the sum of its proper divisors (1175122037952).

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

386296868160 is a wasteful number, since it uses less digits than its factorization.

386296868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 386296868160 in words is "three hundred eighty-six billion, two hundred ninety-six million, eight hundred sixty-eight thousand, one hundred sixty".