386521632 has 216 divisors, whose sum is σ = 1309404096. Its totient is φ = 110014848.

The previous prime is 386521627. The next prime is 386521643. The reversal of 386521632 is 236125683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

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, 1469533 + ... + 1469795.

It is an arithmetic number, because the mean of its divisors is an integer number (6062056).

Almost surely, 2^386521632 is an apocalyptic number.

386521632 is a gapful number since it is divisible by the number (32) 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 386521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654702048).

386521632 is an abundant number, since it is smaller than the sum of its proper divisors (922882464).

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

386521632 is an frugal number, since it uses more digits than its factorization.

386521632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 386521632 is about 19660.1534073364. The cubic root of 386521632 is about 728.4357774143.

The spelling of 386521632 in words is "three hundred eighty-six million, five hundred twenty-one thousand, six hundred thirty-two".