34812842724 has 135 divisors (see below), whose sum is σ = 97176555385. Its totient is φ = 10508298240.

The previous prime is 34812842671. The next prime is 34812842731. The reversal of 34812842724 is 42724821843.

The square root of 34812842724 is 186582.

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

34812842724 is a `hidden beast` number, since 348 + 1 + 284 + 2 + 7 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34273116900 + 539725824 = 185130^2 + 23232^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34812842724.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135458404 + ... + 135458660.

Almost surely, 2^34812842724 is an apocalyptic number.

34812842724 is the 186582-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34812842724

34812842724 is an abundant number, since it is smaller than the sum of its proper divisors (62363712661).

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

34812842724 is an equidigital number, since it uses as much as digits as its factorization.

34812842724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 273 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 34812842724 in words is "thirty-four billion, eight hundred twelve million, eight hundred forty-two thousand, seven hundred twenty-four".