34745959584 has 504 divisors, whose sum is σ = 120810361140. Its totient is φ = 9802985472.

The previous prime is 34745959531. The next prime is 34745959601. The reversal of 34745959584 is 48595954743.

34745959584 is a `hidden beast` number, since 3 + 4 + 7 + 45 + 9 + 5 + 9 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24018800400 + 10727159184 = 154980^2 + 103572^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×34745959584² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 129167002 + ... + 129167270.

Almost surely, 2^34745959584 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 34745959584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60405180570).

34745959584 is an abundant number, since it is smaller than the sum of its proper divisors (86064401556).

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

34745959584 is a wasteful number, since it uses less digits than its factorization.

34745959584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 34745959584 in words is "thirty-four billion, seven hundred forty-five million, nine hundred fifty-nine thousand, five hundred eighty-four".