34402720 has 72 divisors (see below), whose sum is σ = 89387172. Its totient is φ = 12503040.

The previous prime is 34402717. The next prime is 34402741. The reversal of 34402720 is 2720443.

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 156816 = 5852^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34402691 and 34402700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18472 + ... + 20248.

Almost surely, 2^34402720 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 34402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693586).

34402720 is an abundant number, since it is smaller than the sum of its proper divisors (54984452).

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

34402720 is a wasteful number, since it uses less digits than its factorization.

34402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 34402720 is about 5865.3831929380. The cubic root of 34402720 is about 325.2352379755.

The spelling of 34402720 in words is "thirty-four million, four hundred two thousand, seven hundred twenty".