350879984 has 120 divisors (see below), whose sum is σ = 860882400. Its totient is φ = 137313792.

The previous prime is 350879953. The next prime is 350879987. The reversal of 350879984 is 489978053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350879987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1763117 + ... + 1763315.

It is an arithmetic number, because the mean of its divisors is an integer number (7174020).

Almost surely, 2^350879984 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 350879984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430441200).

350879984 is an abundant number, since it is smaller than the sum of its proper divisors (510002416).

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

350879984 is a wasteful number, since it uses less digits than its factorization.

350879984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The square root of 350879984 is about 18731.7907312675. The cubic root of 350879984 is about 705.3199989220.

The spelling of 350879984 in words is "three hundred fifty million, eight hundred seventy-nine thousand, nine hundred eighty-four".