34339825920 has 576 divisors, whose sum is σ = 122067025920. Its totient is φ = 8188723200.

The previous prime is 34339825909. The next prime is 34339825957. The reversal of 34339825920 is 2952893343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34339825920.

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, 143681161 + ... + 143681399.

It is an arithmetic number, because the mean of its divisors is an integer number (211921920).

Almost surely, 2^34339825920 is an apocalyptic number.

34339825920 is a gapful number since it is divisible by the number (30) 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 34339825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61033512960).

34339825920 is an abundant number, since it is smaller than the sum of its proper divisors (87727200000).

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

34339825920 is a wasteful number, since it uses less digits than its factorization.

34339825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 34339825920 in words is "thirty-four billion, three hundred thirty-nine million, eight hundred twenty-five thousand, nine hundred twenty".