353272032 has 72 divisors (see below), whose sum is σ = 1037050560. Its totient is φ = 113955840.

The previous prime is 353272021. The next prime is 353272033. The reversal of 353272032 is 230272353.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×353272032² = 249602257186818048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 353271987 and 353272005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353272033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10857 + ... + 28712.

It is an arithmetic number, because the mean of its divisors is an integer number (14403480).

Almost surely, 2^353272032 is an apocalyptic number.

353272032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

353272032 is an abundant number, since it is smaller than the sum of its proper divisors (683778528).

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

353272032 is a wasteful number, since it uses less digits than its factorization.

353272032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39616 (or 39605 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 353272032 is about 18795.5322350818. The cubic root of 353272032 is about 706.9191590122.

The spelling of 353272032 in words is "three hundred fifty-three million, two hundred seventy-two thousand, thirty-two".