350742877632 has 336 divisors, whose sum is σ = 1173794431680. Its totient is φ = 98056617984.

The previous prime is 350742877603. The next prime is 350742877669. The reversal of 350742877632 is 236778247053.

350742877632 is a `hidden beast` number, since 3 + 507 + 4 + 2 + 8 + 77 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×350742877632² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87399658 + ... + 87403670.

Almost surely, 2^350742877632 is an apocalyptic number.

350742877632 is a gapful number since it is divisible by the number (32) 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 350742877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586897215840).

350742877632 is an abundant number, since it is smaller than the sum of its proper divisors (823051554048).

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

350742877632 is a wasteful number, since it uses less digits than its factorization.

350742877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 350742877632 in words is "three hundred fifty billion, seven hundred forty-two million, eight hundred seventy-seven thousand, six hundred thirty-two".