350872704 has 192 divisors, whose sum is σ = 1243045440. Its totient is φ = 92510208.

The previous prime is 350872703. The next prime is 350872723. The reversal of 350872704 is 407278053.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×350872704² = 246223308824543232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (350872703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103159 + ... + 106505.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^350872704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

350872704 is an abundant number, since it is smaller than the sum of its proper divisors (892172736).

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

350872704 is a wasteful number, since it uses less digits than its factorization.

350872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 350872704 is about 18731.5964082082. The cubic root of 350872704 is about 705.3151209340.

The spelling of 350872704 in words is "three hundred fifty million, eight hundred seventy-two thousand, seven hundred four".