351397474560 has 864 divisors, whose sum is σ = 1451559191040. Its totient is φ = 80160030720.

The previous prime is 351397474531. The next prime is 351397474619. The reversal of 351397474560 is 65474793153.

351397474560 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 9 + 7 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 351397474497 and 351397474506.

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 95 ways as a sum of consecutive naturals, for example, 71087449 + ... + 71092391.

It is an arithmetic number, because the mean of its divisors is an integer number (1680045360).

Almost surely, 2^351397474560 is an apocalyptic number.

351397474560 is a gapful number since it is divisible by the number (30) 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 351397474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725779595520).

351397474560 is an abundant number, since it is smaller than the sum of its proper divisors (1100161716480).

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

351397474560 is a wasteful number, since it uses less digits than its factorization.

351397474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 351397474560 in words is "three hundred fifty-one billion, three hundred ninety-seven million, four hundred seventy-four thousand, five hundred sixty".