34244312364 has 72 divisors (see below), whose sum is σ = 86873387328. Its totient is φ = 11373792480.

The previous prime is 34244312363. The next prime is 34244312383. The reversal of 34244312364 is 46321344243.

34244312364 is a `hidden beast` number, since 34 + 2 + 443 + 123 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (34244312363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18340959 + ... + 18342825.

It is an arithmetic number, because the mean of its divisors is an integer number (1206574824).

Almost surely, 2^34244312364 is an apocalyptic number.

It is an amenable number.

34244312364 is an abundant number, since it is smaller than the sum of its proper divisors (52629074964).

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

34244312364 is a wasteful number, since it uses less digits than its factorization.

34244312364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 34244312364 in words is "thirty-four billion, two hundred forty-four million, three hundred twelve thousand, three hundred sixty-four".