34764415136 has 72 divisors (see below), whose sum is σ = 75512050740. Its totient is φ = 15742791680.

The previous prime is 34764415109. The next prime is 34764415139. The reversal of 34764415136 is 63151446743.

It can be written as a sum of positive squares in 2 ways, for example, as 34069776400 + 694638736 = 184580^2 + 26356^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (34764415139) 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, 1024880 + ... + 1058256.

Almost surely, 2^34764415136 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 34764415136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37756025370).

34764415136 is an abundant number, since it is smaller than the sum of its proper divisors (40747635604).

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

34764415136 is a wasteful number, since it uses less digits than its factorization.

34764415136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33678 (or 33659 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The spelling of 34764415136 in words is "thirty-four billion, seven hundred sixty-four million, four hundred fifteen thousand, one hundred thirty-six".