34804134096 has 80 divisors (see below), whose sum is σ = 91378966848. Its totient is φ = 11412403200.

The previous prime is 34804134091. The next prime is 34804134097. The reversal of 34804134096 is 69043140843.

It is a super-2 number, since 2×34804134096² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34804134091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2440266 + ... + 2454486.

Almost surely, 2^34804134096 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 34804134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45689483424).

34804134096 is an abundant number, since it is smaller than the sum of its proper divisors (56574832752).

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

34804134096 is a wasteful number, since it uses less digits than its factorization.

34804134096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060 (or 15054 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 34804134096 in words is "thirty-four billion, eight hundred four million, one hundred thirty-four thousand, ninety-six".