350544332160 has 768 divisors, whose sum is σ = 1411778833920. Its totient is φ = 79289548800.

The previous prime is 350544332113. The next prime is 350544332213. The reversal of 350544332160 is 61233445053.

350544332160 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 4 + 433 + 216 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 59745547 + ... + 59751413.

It is an arithmetic number, because the mean of its divisors is an integer number (1838253690).

Almost surely, 2^350544332160 is an apocalyptic number.

350544332160 is a gapful number since it is divisible by the number (30) 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 350544332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705889416960).

350544332160 is an abundant number, since it is smaller than the sum of its proper divisors (1061234501760).

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

350544332160 is a wasteful number, since it uses less digits than its factorization.

350544332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 350544332160 in words is "three hundred fifty billion, five hundred forty-four million, three hundred thirty-two thousand, one hundred sixty".