34929898992 has 120 divisors (see below), whose sum is σ = 99418971600. Its totient is φ = 11445857280.

The previous prime is 34929898987. The next prime is 34929899021. The reversal of 34929898992 is 29989892943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34929898992.

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, 5023134 + ... + 5030082.

It is an arithmetic number, because the mean of its divisors is an integer number (828491430).

Almost surely, 2^34929898992 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 34929898992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49709485800).

34929898992 is an abundant number, since it is smaller than the sum of its proper divisors (64489072608).

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

34929898992 is a wasteful number, since it uses less digits than its factorization.

34929898992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551 (or 7542 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 72.

It can be divided in two parts, 3492989 and 8992, that added together give a triangular number (3501981 = T₂₆₄₆).

The spelling of 34929898992 in words is "thirty-four billion, nine hundred twenty-nine million, eight hundred ninety-eight thousand, nine hundred ninety-two".