351878905728 has 256 divisors, whose sum is σ = 1197994406400. Its totient is φ = 99596500992.

The previous prime is 351878905723. The next prime is 351878905769. The reversal of 351878905728 is 827509878153.

351878905728 is a `hidden beast` number, since 3 + 51 + 8 + 7 + 8 + 9 + 0 + 572 + 8 = 666.

It is a super-2 number, since 2×351878905728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351878905723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520576 + ... + 2656512.

It is an arithmetic number, because the mean of its divisors is an integer number (4679665650).

Almost surely, 2^351878905728 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 351878905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598997203200).

351878905728 is an abundant number, since it is smaller than the sum of its proper divisors (846115500672).

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

351878905728 is a wasteful number, since it uses less digits than its factorization.

351878905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136074 (or 136056 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 351878905728 in words is "three hundred fifty-one billion, eight hundred seventy-eight million, nine hundred five thousand, seven hundred twenty-eight".