352988160 has 352 divisors, whose sum is σ = 1336281600. Its totient is φ = 79478784.

The previous prime is 352988149. The next prime is 352988173. The reversal of 352988160 is 61889253.

It is a super-2 number, since 2×352988160² = 249201282200371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268447 + ... + 5268513.

Almost surely, 2^352988160 is an apocalyptic number.

352988160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668140800).

352988160 is an abundant number, since it is smaller than the sum of its proper divisors (983293440).

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

352988160 is an equidigital number, since it uses as much as digits as its factorization.

352988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 352988160 is about 18787.9791356069. The cubic root of 352988160 is about 706.7297598032.

The spelling of 352988160 in words is "three hundred fifty-two million, nine hundred eighty-eight thousand, one hundred sixty".