34408622120 has 64 divisors (see below), whose sum is σ = 79696930320. Its totient is φ = 13360287744.

The previous prime is 34408622107. The next prime is 34408622123. The reversal of 34408622120 is 2122680443.

It can be written as a sum of positive squares in 8 ways, for example, as 9654634564 + 24753987556 = 98258^2 + 157334^2 .

It is not an unprimeable number, because it can be changed into a prime (34408622123) 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 15 ways as a sum of consecutive naturals, for example, 613994 + ... + 667686.

Almost surely, 2^34408622120 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 34408622120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39848465160).

34408622120 is an abundant number, since it is smaller than the sum of its proper divisors (45288308200).

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

34408622120 is a wasteful number, since it uses less digits than its factorization.

34408622120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54174 (or 54170 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 34408622120 in words is "thirty-four billion, four hundred eight million, six hundred twenty-two thousand, one hundred twenty".