351934795872 has 648 divisors, whose sum is σ = 1218707518392. Its totient is φ = 95923998720.

The previous prime is 351934795859. The next prime is 351934795909. The reversal of 351934795872 is 278597439153.

351934795872 is a `hidden beast` number, since 3 + 5 + 1 + 9 + 3 + 47 + 9 + 587 + 2 = 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 107 ways as a sum of consecutive naturals, for example, 313387503 + ... + 313388625.

It is an arithmetic number, because the mean of its divisors is an integer number (1880721479).

Almost surely, 2^351934795872 is an apocalyptic number.

351934795872 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 351934795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609353759196).

351934795872 is an abundant number, since it is smaller than the sum of its proper divisors (866772722520).

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

351934795872 is a wasteful number, since it uses less digits than its factorization.

351934795872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1179 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 351934795872 in words is "three hundred fifty-one billion, nine hundred thirty-four million, seven hundred ninety-five thousand, eight hundred seventy-two".