34122660 has 192 divisors, whose sum is σ = 116169984. Its totient is φ = 7372800.

The previous prime is 34122659. The next prime is 34122667. The reversal of 34122660 is 6622143.

It is a self number, because there is not a number n which added to its sum of digits gives 34122660.

It is not an unprimeable number, because it can be changed into a prime (34122667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351732 + ... + 351828.

It is an arithmetic number, because the mean of its divisors is an integer number (605052).

Almost surely, 2^34122660 is an apocalyptic number.

34122660 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 34122660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58084992).

34122660 is an abundant number, since it is smaller than the sum of its proper divisors (82047324).

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

34122660 is a wasteful number, since it uses less digits than its factorization.

34122660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34122660 is about 5841.4604338299. The cubic root of 34122660 is about 324.3502917759.

The spelling of 34122660 in words is "thirty-four million, one hundred twenty-two thousand, six hundred sixty".