353664120 has 64 divisors (see below), whose sum is σ = 1095229440. Its totient is φ = 91267200.

The previous prime is 353664109. The next prime is 353664127. The reversal of 353664120 is 21466353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353664127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43816 + ... + 51255.

It is an arithmetic number, because the mean of its divisors is an integer number (17112960).

Almost surely, 2^353664120 is an apocalyptic number.

353664120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353664120 is an abundant number, since it is smaller than the sum of its proper divisors (741565320).

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

353664120 is a wasteful number, since it uses less digits than its factorization.

353664120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95116 (or 95112 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 353664120 is about 18805.9596936716. The cubic root of 353664120 is about 707.1805930859.

The spelling of 353664120 in words is "three hundred fifty-three million, six hundred sixty-four thousand, one hundred twenty".