328577634 has 240 divisors, whose sum is σ = 965359296. Its totient is φ = 82555200.

The previous prime is 328577617. The next prime is 328577647. The reversal of 328577634 is 436775823.

328577634 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 7 + 7 + 634 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 328577634.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4627819 + ... + 4627889.

Almost surely, 2^328577634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328577634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482679648).

328577634 is an abundant number, since it is smaller than the sum of its proper divisors (636781662).

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

328577634 is a wasteful number, since it uses less digits than its factorization.

328577634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 328577634 is about 18126.7105123903. The cubic root of 328577634 is about 690.0480495839.

The spelling of 328577634 in words is "three hundred twenty-eight million, five hundred seventy-seven thousand, six hundred thirty-four".