34822886792464 has 135 divisors (see below), whose sum is σ = 69510964023333. Its totient is φ = 16899972148224.

The previous prime is 34822886792461. The next prime is 34822886792483. The reversal of 34822886792464 is 46429768822843.

The square root of 34822886792464 is 5901092.

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

It can be written as a sum of positive squares in only one way, i.e., 15636804835600 + 19186081956864 = 3954340^2 + 4380192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34822886792461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153404787519 + ... + 153404787745.

Almost surely, 2^{34822886792464} is an apocalyptic number.

34822886792464 is the 5901092-nd square number.

It is an amenable number.

34822886792464 is a deficient number, since it is larger than the sum of its proper divisors (34688077230869).

34822886792464 is an frugal number, since it uses more digits than its factorization.

34822886792464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 393 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 73.

The spelling of 34822886792464 in words is "thirty-four trillion, eight hundred twenty-two billion, eight hundred eighty-six million, seven hundred ninety-two thousand, four hundred sixty-four".