34240013307 has 16 divisors (see below), whose sum is σ = 50730672000. Its totient is φ = 22824548712.

The previous prime is 34240013299. The next prime is 34240013387. The reversal of 34240013307 is 70331004243.

34240013307 is a `hidden beast` number, since 342 + 4 + 0 + 0 + 13 + 307 = 666.

It is not a de Polignac number, because 34240013307 - 2³ = 34240013299 is a prime.

It is a super-2 number, since 2×34240013307² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34240013387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269244 + ... + 375462.

It is an arithmetic number, because the mean of its divisors is an integer number (3170667000).

Almost surely, 2^34240013307 is an apocalyptic number.

34240013307 is a deficient number, since it is larger than the sum of its proper divisors (16490658693).

34240013307 is a wasteful number, since it uses less digits than its factorization.

34240013307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118167 (or 118161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 34240013307 in words is "thirty-four billion, two hundred forty million, thirteen thousand, three hundred seven".