634980384 has 144 divisors (see below), whose sum is σ = 1924086528. Its totient is φ = 205846272.

The previous prime is 634980331. The next prime is 634980391. The reversal of 634980384 is 483089436.

634980384 is a `hidden beast` number, since 634 + 9 + 8 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286609 + ... + 288815.

It is an arithmetic number, because the mean of its divisors is an integer number (13361712).

Almost surely, 2^634980384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634980384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962043264).

634980384 is an abundant number, since it is smaller than the sum of its proper divisors (1289106144).

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

634980384 is a wasteful number, since it uses less digits than its factorization.

634980384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 634980384 is about 25198.8171150949. The cubic root of 634980384 is about 859.5149527291.

The spelling of 634980384 in words is "six hundred thirty-four million, nine hundred eighty thousand, three hundred eighty-four".