353085372 has 48 divisors (see below), whose sum is σ = 916608000. Its totient is φ = 117540720.

The previous prime is 353085371. The next prime is 353085373. The reversal of 353085372 is 273580353.

353085372 is a `hidden beast` number, since 3 + 530 + 8 + 53 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (353085371) and next prime (353085373).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353085371) 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, 105379 + ... + 108677.

It is an arithmetic number, because the mean of its divisors is an integer number (19096000).

Almost surely, 2^353085372 is an apocalyptic number.

It is an amenable number.

353085372 is an abundant number, since it is smaller than the sum of its proper divisors (563522628).

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

353085372 is a wasteful number, since it uses less digits than its factorization.

353085372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 353085372 is about 18790.5660372433. The cubic root of 353085372 is about 706.7946310135.

The spelling of 353085372 in words is "three hundred fifty-three million, eighty-five thousand, three hundred seventy-two".