352479680 has 112 divisors (see below), whose sum is σ = 977676480. Its totient is φ = 118530048.

The previous prime is 352479679. The next prime is 352479707. The reversal of 352479680 is 86974253.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 117236 + ... + 120204.

Almost surely, 2^352479680 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 352479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488838240).

352479680 is an abundant number, since it is smaller than the sum of its proper divisors (625196800).

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

352479680 is a wasteful number, since it uses less digits than its factorization.

352479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 352479680 is about 18774.4422021002. The cubic root of 352479680 is about 706.3902482849.

The spelling of 352479680 in words is "three hundred fifty-two million, four hundred seventy-nine thousand, six hundred eighty".