34036315488 has 144 divisors (see below), whose sum is σ = 110766198816. Its totient is φ = 9711636480.

The previous prime is 34036315463. The next prime is 34036315499. The reversal of 34036315488 is 88451363043.

34036315488 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 631 + 5 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547448 + ... + 1569288.

It is an arithmetic number, because the mean of its divisors is an integer number (769209714).

Almost surely, 2^34036315488 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 34036315488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55383099408).

34036315488 is an abundant number, since it is smaller than the sum of its proper divisors (76729883328).

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

34036315488 is a wasteful number, since it uses less digits than its factorization.

34036315488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22637 (or 22626 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34036315488 in words is "thirty-four billion, thirty-six million, three hundred fifteen thousand, four hundred eighty-eight".