34441500117 has 32 divisors (see below), whose sum is σ = 47251353600. Its totient is φ = 22302669312.

The previous prime is 34441500113. The next prime is 34441500131. The reversal of 34441500117 is 71100514443.

34441500117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34441500117 - 2² = 34441500113 is a prime.

It is a super-2 number, since 2×34441500117² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441500113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21811434 + ... + 21813012.

It is an arithmetic number, because the mean of its divisors is an integer number (1476604800).

Almost surely, 2^34441500117 is an apocalyptic number.

It is an amenable number.

34441500117 is a deficient number, since it is larger than the sum of its proper divisors (12809853483).

34441500117 is a wasteful number, since it uses less digits than its factorization.

34441500117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 34441500117 in words is "thirty-four billion, four hundred forty-one million, five hundred thousand, one hundred seventeen".