350893952 has 32 divisors (see below), whose sum is σ = 702157800. Its totient is φ = 174666240.

The previous prime is 350893913. The next prime is 350893967. The reversal of 350893952 is 259398053.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 23327 + ... + 35297.

Almost surely, 2^350893952 is an apocalyptic number.

350893952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351078900).

350893952 is an abundant number, since it is smaller than the sum of its proper divisors (351263848).

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

350893952 is a wasteful number, since it uses less digits than its factorization.

350893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 350893952 is about 18732.1635696467. The cubic root of 350893952 is about 705.3293580377.

The spelling of 350893952 in words is "three hundred fifty million, eight hundred ninety-three thousand, nine hundred fifty-two".