352038974976 has 720 divisors, whose sum is σ = 1175849490816. Its totient is φ = 100759044096.

The previous prime is 352038974941. The next prime is 352038974999. The reversal of 352038974976 is 679479830253.

352038974976 is a `hidden beast` number, since 3 + 5 + 20 + 38 + 97 + 497 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1578650001 + ... + 1578650223.

Almost surely, 2^352038974976 is an apocalyptic number.

352038974976 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 352038974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587924745408).

352038974976 is an abundant number, since it is smaller than the sum of its proper divisors (823810515840).

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

352038974976 is a wasteful number, since it uses less digits than its factorization.

352038974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 352038974976 in words is "three hundred fifty-two billion, thirty-eight million, nine hundred seventy-four thousand, nine hundred seventy-six".