351796079376 has 405 divisors, whose sum is σ = 1201154072391. Its totient is φ = 95829858432.

The previous prime is 351796079333. The next prime is 351796079387. The reversal of 351796079376 is 673970697153.

The square root of 351796079376 is 593124.

It is a perfect power (a square), and thus also a powerful number.

351796079376 is a `hidden beast` number, since 3 + 5 + 17 + 9 + 607 + 9 + 3 + 7 + 6 = 666.

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

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 80 ways as a sum of consecutive naturals, for example, 1145915415 + ... + 1145915721.

Almost surely, 2^351796079376 is an apocalyptic number.

351796079376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

351796079376 is the 593124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351796079376

351796079376 is an abundant number, since it is smaller than the sum of its proper divisors (849357993015).

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

351796079376 is a wasteful number, since it uses less digits than its factorization.

351796079376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 63.

The spelling of 351796079376 in words is "three hundred fifty-one billion, seven hundred ninety-six million, seventy-nine thousand, three hundred seventy-six".