34110745632 has 72 divisors (see below), whose sum is σ = 100347368940. Its totient is φ = 10978168320.

The previous prime is 34110745607. The next prime is 34110745639. The reversal of 34110745632 is 23654701143.

34110745632 is a `hidden beast` number, since 3 + 4 + 1 + 10 + 7 + 4 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34093406736 + 17338896 = 184644^2 + 4164^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (34110745639) 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, 2033719 + ... + 2050422.

Almost surely, 2^34110745632 is an apocalyptic number.

34110745632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34110745632 is an abundant number, since it is smaller than the sum of its proper divisors (66236623308).

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

34110745632 is a wasteful number, since it uses less digits than its factorization.

34110745632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084186 (or 4084175 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34110745632 in words is "thirty-four billion, one hundred ten million, seven hundred forty-five thousand, six hundred thirty-two".