350504371728 has 480 divisors, whose sum is σ = 1209591152640. Its totient is φ = 92514493440.

The previous prime is 350504371703. The next prime is 350504371729. The reversal of 350504371728 is 827173405053.

350504371728 is a `hidden beast` number, since 3 + 5 + 0 + 504 + 3 + 71 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (350504371729) 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, 330352318 + ... + 330353378.

It is an arithmetic number, because the mean of its divisors is an integer number (2519981568).

Almost surely, 2^350504371728 is an apocalyptic number.

350504371728 is a gapful number since it is divisible by the number (38) 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 350504371728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604795576320).

350504371728 is an abundant number, since it is smaller than the sum of its proper divisors (859086780912).

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

350504371728 is a wasteful number, since it uses less digits than its factorization.

350504371728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 350504371728 in words is "three hundred fifty billion, five hundred four million, three hundred seventy-one thousand, seven hundred twenty-eight".