634378752 has 240 divisors, whose sum is σ = 2129542272. Its totient is φ = 178053120.

The previous prime is 634378747. The next prime is 634378781. The reversal of 634378752 is 257873436.

634378752 is a `hidden beast` number, since 634 + 3 + 7 + 8 + 7 + 5 + 2 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 634378698 and 634378707.

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, 2290038 + ... + 2290314.

Almost surely, 2^634378752 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 634378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064771136).

634378752 is an abundant number, since it is smaller than the sum of its proper divisors (1495163520).

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

634378752 is a wasteful number, since it uses less digits than its factorization.

634378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

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

The square root of 634378752 is about 25186.8765828556. The cubic root of 634378752 is about 859.2434088531.

The spelling of 634378752 in words is "six hundred thirty-four million, three hundred seventy-eight thousand, seven hundred fifty-two".