34420680 has 256 divisors, whose sum is σ = 136512000. Its totient is φ = 7547904.

The previous prime is 34420679. The next prime is 34420697. The reversal of 34420680 is 8602443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 785 × 783 × 56.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219162 + ... + 219318.

It is an arithmetic number, because the mean of its divisors is an integer number (533250).

Almost surely, 2^34420680 is an apocalyptic number.

34420680 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 34420680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68256000).

34420680 is an abundant number, since it is smaller than the sum of its proper divisors (102091320).

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

34420680 is a wasteful number, since it uses less digits than its factorization.

34420680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34420680 is about 5866.9140099374. The cubic root of 34420680 is about 325.2918246708.

The spelling of 34420680 in words is "thirty-four million, four hundred twenty thousand, six hundred eighty".