34165056744 has 480 divisors, whose sum is σ = 123175178280. Its totient is φ = 8763116544.

The previous prime is 34165056733. The next prime is 34165056769. The reversal of 34165056744 is 44765056143.

34165056744 is a `hidden beast` number, since 3 + 41 + 6 + 5 + 0 + 567 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32783447844 + 1381608900 = 181062^2 + 37170^2 .

It is a super-2 number, since 2×34165056744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34165056744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15271594 + ... + 15273830.

Almost surely, 2^34165056744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34165056744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61587589140).

34165056744 is an abundant number, since it is smaller than the sum of its proper divisors (89010121536).

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

34165056744 is a wasteful number, since it uses less digits than its factorization.

34165056744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34165056744 in words is "thirty-four billion, one hundred sixty-five million, fifty-six thousand, seven hundred forty-four".