34039224 has 64 divisors (see below), whose sum is σ = 96192000. Its totient is φ = 11149920.

The previous prime is 34039211. The next prime is 34039237. The reversal of 34039224 is 42293043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34039211) and next prime (34039237).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11409 + ... + 14079.

It is an arithmetic number, because the mean of its divisors is an integer number (1503000).

Almost surely, 2^34039224 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 34039224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48096000).

34039224 is an abundant number, since it is smaller than the sum of its proper divisors (62152776).

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

34039224 is a wasteful number, since it uses less digits than its factorization.

34039224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34039224 is about 5834.3143556034. The cubic root of 34039224 is about 324.0857112059.

The spelling of 34039224 in words is "thirty-four million, thirty-nine thousand, two hundred twenty-four".