34082922720 has 768 divisors, whose sum is σ = 139791826944. Its totient is φ = 6773760000.

The previous prime is 34082922683. The next prime is 34082922803. The reversal of 34082922720 is 2722928043.

It is a super-2 number, since 2×34082922720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173009662 + ... + 173009858.

It is an arithmetic number, because the mean of its divisors is an integer number (182020608).

Almost surely, 2^34082922720 is an apocalyptic number.

34082922720 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 34082922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69895913472).

34082922720 is an abundant number, since it is smaller than the sum of its proper divisors (105708904224).

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

34082922720 is a wasteful number, since it uses less digits than its factorization.

34082922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 34082922720 in words is "thirty-four billion, eighty-two million, nine hundred twenty-two thousand, seven hundred twenty".