352815104 has 48 divisors (see below), whose sum is σ = 742669200. Its totient is φ = 167104512.

The previous prime is 352815097. The next prime is 352815109. The reversal of 352815104 is 401518253.

It is a super-2 number, since 2×352815104² = 248956995221061632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352815109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34379 + ... + 43445.

It is an arithmetic number, because the mean of its divisors is an integer number (15472275).

Almost surely, 2^352815104 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 352815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371334600).

352815104 is an abundant number, since it is smaller than the sum of its proper divisors (389854096).

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

352815104 is an equidigital number, since it uses as much as digits as its factorization.

352815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 352815104 is about 18783.3730730133. The cubic root of 352815104 is about 706.6142471302.

The spelling of 352815104 in words is "three hundred fifty-two million, eight hundred fifteen thousand, one hundred four".