34073464213504 has 117 divisors (see below), whose sum is σ = 68613291871893. Its totient is φ = 16918866395136.

The previous prime is 34073464213501. The next prime is 34073464213519. The reversal of 34073464213504 is 40531246437043.

The square root of 34073464213504 is 5837248.

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., 31140328443904 + 2933135769600 = 5580352^2 + 1712640^2 .

It is a super-2 number, since 2×34073464213504² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34073464213501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83309203252 + ... + 83309203660.

Almost surely, 2^{34073464213504} is an apocalyptic number.

34073464213504 is the 5837248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34073464213504

34073464213504 is an abundant number, since it is smaller than the sum of its proper divisors (34539827658389).

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

34073464213504 is an frugal number, since it uses more digits than its factorization.

34073464213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 46.

The spelling of 34073464213504 in words is "thirty-four trillion, seventy-three billion, four hundred sixty-four million, two hundred thirteen thousand, five hundred four".