34481313864 has 24 divisors (see below), whose sum is σ = 93386891910. Its totient is φ = 11493771264.

The previous prime is 34481313787. The next prime is 34481313907. The reversal of 34481313864 is 46831318443.

34481313864 is a `hidden beast` number, since 3 + 448 + 13 + 138 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28862612100 + 5618701764 = 169890^2 + 74958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×34481313864² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 239453497 + ... + 239453640.

Almost surely, 2^34481313864 is an apocalyptic number.

It is an amenable number.

34481313864 is an abundant number, since it is smaller than the sum of its proper divisors (58905578046).

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

34481313864 is a wasteful number, since it uses less digits than its factorization.

34481313864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478907149 (or 478907142 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 34481313864 in words is "thirty-four billion, four hundred eighty-one million, three hundred thirteen thousand, eight hundred sixty-four".