34412832720 has 640 divisors, whose sum is σ = 140455296000. Its totient is φ = 7580418048.

The previous prime is 34412832697. The next prime is 34412832721. The reversal of 34412832720 is 2723821443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412832721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76643056 + ... + 76643504.

It is an arithmetic number, because the mean of its divisors is an integer number (219461400).

Almost surely, 2^34412832720 is an apocalyptic number.

34412832720 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 34412832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648000).

34412832720 is an abundant number, since it is smaller than the sum of its proper divisors (106042463280).

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

34412832720 is a wasteful number, since it uses less digits than its factorization.

34412832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34412832720 in words is "thirty-four billion, four hundred twelve million, eight hundred thirty-two thousand, seven hundred twenty".