34825182720 has 320 divisors, whose sum is σ = 118368138240. Its totient is φ = 8704360448.

The previous prime is 34825182719. The next prime is 34825182727. The reversal of 34825182720 is 2728152843.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825182727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46870669 + ... + 46871411.

It is an arithmetic number, because the mean of its divisors is an integer number (369900432).

Almost surely, 2^34825182720 is an apocalyptic number.

34825182720 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 34825182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59184069120).

34825182720 is an abundant number, since it is smaller than the sum of its proper divisors (83542955520).

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

34825182720 is a wasteful number, since it uses less digits than its factorization.

34825182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 34825182720 in words is "thirty-four billion, eight hundred twenty-five million, one hundred eighty-two thousand, seven hundred twenty".