353808972 has 72 divisors (see below), whose sum is σ = 1011820992. Its totient is φ = 107211600.

The previous prime is 353808907. The next prime is 353808979. The reversal of 353808972 is 279808353.

It is not an unprimeable number, because it can be changed into a prime (353808979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5854 + ... + 27237.

Almost surely, 2^353808972 is an apocalyptic number.

It is an amenable number.

353808972 is an abundant number, since it is smaller than the sum of its proper divisors (658012020).

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

353808972 is a wasteful number, since it uses less digits than its factorization.

353808972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33121 (or 33107 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 353808972 is about 18809.8105253615. The cubic root of 353808972 is about 707.2771277502.

It can be divided in two parts, 3538089 and 72, that added together give a square (3538161 = 1881²).

The spelling of 353808972 in words is "three hundred fifty-three million, eight hundred eight thousand, nine hundred seventy-two".