350963136 has 84 divisors (see below), whose sum is σ = 1058951400. Its totient is φ = 110827008.

The previous prime is 350963131. The next prime is 350963143. The reversal of 350963136 is 631369053.

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 350963136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350963131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5091 + ... + 26978.

Almost surely, 2^350963136 is an apocalyptic number.

350963136 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 350963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529475700).

350963136 is an abundant number, since it is smaller than the sum of its proper divisors (707988264).

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

350963136 is a wasteful number, since it uses less digits than its factorization.

350963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32106 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 350963136 is about 18734.0101419851. The cubic root of 350963136 is about 705.3757104084.

The spelling of 350963136 in words is "three hundred fifty million, nine hundred sixty-three thousand, one hundred thirty-six".