34395460 has 72 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 12249600.

The previous prime is 34395457. The next prime is 34395497. The reversal of 34395460 is 6459343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 662596 + 33732864 = 814^2 + 5808^2 .

It is a super-2 number, since 2×34395460² = 2366095337223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147504 + ... + 147736.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 2^34395460 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 34395460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

34395460 is an abundant number, since it is smaller than the sum of its proper divisors (46646228).

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

34395460 is a wasteful number, since it uses less digits than its factorization.

34395460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 34395460 is about 5864.7642748878. The cubic root of 34395460 is about 325.2123582542.

The spelling of 34395460 in words is "thirty-four million, three hundred ninety-five thousand, four hundred sixty".