386312976 has 200 divisors, whose sum is σ = 1293944960. Its totient is φ = 108988416.

The previous prime is 386312957. The next prime is 386312999. The reversal of 386312976 is 679213683.

386312976 is a `hidden beast` number, since 3 + 8 + 631 + 2 + 9 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879765 + ... + 880203.

Almost surely, 2^386312976 is an apocalyptic number.

386312976 is a gapful number since it is divisible by the number (36) 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 386312976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646972480).

386312976 is an abundant number, since it is smaller than the sum of its proper divisors (907631984).

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

386312976 is a wasteful number, since it uses less digits than its factorization.

386312976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 386312976 is about 19654.8461199776. The cubic root of 386312976 is about 728.3046766416.

The spelling of 386312976 in words is "three hundred eighty-six million, three hundred twelve thousand, nine hundred seventy-six".