34745829888 has 640 divisors, whose sum is σ = 123204685824. Its totient is φ = 8434483200.

The previous prime is 34745829869. The next prime is 34745829949. The reversal of 34745829888 is 88892854743.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144173448 + ... + 144173688.

Almost surely, 2^34745829888 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 34745829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61602342912).

34745829888 is an abundant number, since it is smaller than the sum of its proper divisors (88458855936).

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

34745829888 is a wasteful number, since it uses less digits than its factorization.

34745829888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 66.

The spelling of 34745829888 in words is "thirty-four billion, seven hundred forty-five million, eight hundred twenty-nine thousand, eight hundred eighty-eight".