34409244576 has 192 divisors, whose sum is σ = 108041472000. Its totient is φ = 9375353856.

The previous prime is 34409244563. The next prime is 34409244581. The reversal of 34409244576 is 67544290443.

It is a super-2 number, since 2×34409244576² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5390955 + ... + 5397333.

It is an arithmetic number, because the mean of its divisors is an integer number (562716000).

Almost surely, 2^34409244576 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 34409244576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54020736000).

34409244576 is an abundant number, since it is smaller than the sum of its proper divisors (73632227424).

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

34409244576 is a wasteful number, since it uses less digits than its factorization.

34409244576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 34409244576 in words is "thirty-four billion, four hundred nine million, two hundred forty-four thousand, five hundred seventy-six".