351663632 has 80 divisors (see below), whose sum is σ = 747755712. Its totient is φ = 159559680.

The previous prime is 351663623. The next prime is 351663643. The reversal of 351663632 is 236366153.

It is a junction number, because it is equal to n+sod(n) for n = 351663592 and 351663601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251332 + ... + 1251612.

Almost surely, 2^351663632 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 351663632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373877856).

351663632 is an abundant number, since it is smaller than the sum of its proper divisors (396092080).

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

351663632 is a wasteful number, since it uses less digits than its factorization.

351663632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 58320, while the sum is 35.

The square root of 351663632 is about 18752.6966594141. The cubic root of 351663632 is about 705.8446908032.

The spelling of 351663632 in words is "three hundred fifty-one million, six hundred sixty-three thousand, six hundred thirty-two".