34071635754 has 48 divisors (see below), whose sum is σ = 79647730344. Its totient is φ = 10464163200.

The previous prime is 34071635749. The next prime is 34071635771. The reversal of 34071635754 is 45753617043.

34071635754 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 1 + 635 + 7 + 5 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17112564225 + 16959071529 = 130815^2 + 130227^2 .

It is a super-2 number, since 2×34071635754² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7977 + ... + 261164.

Almost surely, 2^34071635754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34071635754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39823865172).

34071635754 is an abundant number, since it is smaller than the sum of its proper divisors (45576094590).

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

34071635754 is a wasteful number, since it uses less digits than its factorization.

34071635754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269703 (or 269700 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 34071635754 in words is "thirty-four billion, seventy-one million, six hundred thirty-five thousand, seven hundred fifty-four".