34829880704 has 192 divisors, whose sum is σ = 78485695200. Its totient is φ = 15339110400.

The previous prime is 34829880691. The next prime is 34829880707. The reversal of 34829880704 is 40708892843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34829880707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79338917 + ... + 79339355.

Almost surely, 2^34829880704 is an apocalyptic number.

34829880704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34829880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39242847600).

34829880704 is an abundant number, since it is smaller than the sum of its proper divisors (43655814496).

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

34829880704 is a wasteful number, since it uses less digits than its factorization.

34829880704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 34829880704 in words is "thirty-four billion, eight hundred twenty-nine million, eight hundred eighty thousand, seven hundred four".