351074834460 has 432 divisors, whose sum is σ = 1291516192512. Its totient is φ = 76882176000.

The previous prime is 351074834459. The next prime is 351074834477. The reversal of 351074834460 is 64438470153.

351074834460 is a `hidden beast` number, since 3 + 5 + 107 + 4 + 83 + 4 + 460 = 666.

It is a super-2 number, since 2×351074834460² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27609064 + ... + 27621776.

It is an arithmetic number, because the mean of its divisors is an integer number (2989620816).

Almost surely, 2^351074834460 is an apocalyptic number.

351074834460 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 351074834460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645758096256).

351074834460 is an abundant number, since it is smaller than the sum of its proper divisors (940441358052).

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

351074834460 is a wasteful number, since it uses less digits than its factorization.

351074834460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 351074834460 in words is "three hundred fifty-one billion, seventy-four million, eight hundred thirty-four thousand, four hundred sixty".