34440134230368 has 72 divisors (see below), whose sum is σ = 97984454696856. Its totient is φ = 11474732160000.

The previous prime is 34440134230367. The next prime is 34440134230379. The reversal of 34440134230368 is 86303243104443.

34440134230368 is a `hidden beast` number, since 3 + 4 + 4 + 40 + 13 + 4 + 230 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34440134230368² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440134230361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27046258 + ... + 28290993.

It is an arithmetic number, because the mean of its divisors is an integer number (1360895204123).

Almost surely, 2^{34440134230368} is an apocalyptic number.

It is an amenable number.

34440134230368 is an abundant number, since it is smaller than the sum of its proper divisors (63544320466488).

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

34440134230368 is a wasteful number, since it uses less digits than its factorization.

34440134230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55339428 (or 55339417 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 34440134230368 in words is "thirty-four trillion, four hundred forty billion, one hundred thirty-four million, two hundred thirty thousand, three hundred sixty-eight".