350625312576 has 672 divisors, whose sum is σ = 1321551840000. Its totient is φ = 91052881920.

The previous prime is 350625312571. The next prime is 350625312577. The reversal of 350625312576 is 675213526053.

350625312576 is a `hidden beast` number, since 3 + 5 + 0 + 62 + 5 + 3 + 12 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350625312571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71714740 + ... + 71719628.

It is an arithmetic number, because the mean of its divisors is an integer number (1966595000).

Almost surely, 2^350625312576 is an apocalyptic number.

350625312576 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 350625312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660775920000).

350625312576 is an abundant number, since it is smaller than the sum of its proper divisors (970926527424).

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

350625312576 is a wasteful number, since it uses less digits than its factorization.

350625312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 350625312576 in words is "three hundred fifty billion, six hundred twenty-five million, three hundred twelve thousand, five hundred seventy-six".