350912736 has 120 divisors (see below), whose sum is σ = 1060206840. Its totient is φ = 113778432.

The previous prime is 350912719. The next prime is 350912761. The reversal of 350912736 is 637219053.

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

It is a self number, because there is not a number n which added to its sum of digits gives 350912736.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 94075 + ... + 97733.

It is an arithmetic number, because the mean of its divisors is an integer number (8835057).

Almost surely, 2^350912736 is an apocalyptic number.

350912736 is a gapful number since it is divisible by the number (36) 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 350912736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530103420).

350912736 is an abundant number, since it is smaller than the sum of its proper divisors (709294104).

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

350912736 is a wasteful number, since it uses less digits than its factorization.

350912736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 350912736 is about 18732.6649465579. The cubic root of 350912736 is about 705.3419436733.

The spelling of 350912736 in words is "three hundred fifty million, nine hundred twelve thousand, seven hundred thirty-six".