34401034107 has 72 divisors (see below), whose sum is σ = 56243899712. Its totient is φ = 20234823840.

The previous prime is 34401034103. The next prime is 34401034111. The reversal of 34401034107 is 70143010443.

34401034107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34401034103) and next prime (34401034111).

It is not a de Polignac number, because 34401034107 - 2² = 34401034103 is a prime.

It is a super-2 number, since 2×34401034107² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34401034103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7630548 + ... + 7635054.

Almost surely, 2^34401034107 is an apocalyptic number.

34401034107 is a deficient number, since it is larger than the sum of its proper divisors (21842865605).

34401034107 is a wasteful number, since it uses less digits than its factorization.

34401034107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 34401034107 in words is "thirty-four billion, four hundred one million, thirty-four thousand, one hundred seven".