34379582013 has 12 divisors (see below), whose sum is σ = 56753595808. Its totient is φ = 19645475400.

The previous prime is 34379581997. The next prime is 34379582021. The reversal of 34379582013 is 31028597343.

34379582013 is a `hidden beast` number, since 3 + 437 + 9 + 5 + 8 + 201 + 3 = 666.

It is not a de Polignac number, because 34379582013 - 2⁴ = 34379581997 is a prime.

It is a super-4 number, since 4×34379582013⁴ (a number of 43 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34379582013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34379582023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272853763 + ... + 272853888.

Almost surely, 2^34379582013 is an apocalyptic number.

It is an amenable number.

34379582013 is a deficient number, since it is larger than the sum of its proper divisors (22374013795).

34379582013 is a wasteful number, since it uses less digits than its factorization.

34379582013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545707664 (or 545707661 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34379582013 in words is "thirty-four billion, three hundred seventy-nine million, five hundred eighty-two thousand, thirteen".