34013260624 has 60 divisors (see below), whose sum is σ = 79303490100. Its totient is φ = 14074443264.

The previous prime is 34013260613. The next prime is 34013260681. The reversal of 34013260624 is 42606231043.

It can be written as a sum of positive squares in 2 ways, for example, as 10245488400 + 23767772224 = 101220^2 + 154168^2 .

It is a super-2 number, since 2×34013260624² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 725269 + ... + 770740.

It is an arithmetic number, because the mean of its divisors is an integer number (1321724835).

Almost surely, 2^34013260624 is an apocalyptic number.

It is an amenable number.

34013260624 is an abundant number, since it is smaller than the sum of its proper divisors (45290229476).

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

34013260624 is a wasteful number, since it uses less digits than its factorization.

34013260624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496060 (or 1496047 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 34013260624 its reverse (42606231043), we get a palindrome (76619491667).

The spelling of 34013260624 in words is "thirty-four billion, thirteen million, two hundred sixty thousand, six hundred twenty-four".