350607228972 has 1152 divisors, whose sum is σ = 1233081335808. Its totient is φ = 75020774400.

The previous prime is 350607228943. The next prime is 350607228977. The reversal of 350607228972 is 279822706053.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (350607228977) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5232943683 + ... + 5232943749.

It is an arithmetic number, because the mean of its divisors is an integer number (1070383104).

Almost surely, 2^350607228972 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 350607228972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616540667904).

350607228972 is an abundant number, since it is smaller than the sum of its proper divisors (882474106836).

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

350607228972 is a wasteful number, since it uses less digits than its factorization.

350607228972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 350607228972 in words is "three hundred fifty billion, six hundred seven million, two hundred twenty-eight thousand, nine hundred seventy-two".