34004628 has 108 divisors (see below), whose sum is σ = 102889332. Its totient is φ = 9434880.

The previous prime is 34004627. The next prime is 34004629. The reversal of 34004628 is 82640043.

34004628 is a `hidden beast` number, since 34 + 0 + 0 + 4 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (34004627) and next prime (34004629).

It can be written as a sum of positive squares in 2 ways, for example, as 20958084 + 13046544 = 4578^2 + 3612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65008 + ... + 65528.

It is an arithmetic number, because the mean of its divisors is an integer number (952679).

Almost surely, 2^34004628 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 34004628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51444666).

34004628 is an abundant number, since it is smaller than the sum of its proper divisors (68884704).

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

34004628 is a wasteful number, since it uses less digits than its factorization.

34004628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

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

The square root of 34004628 is about 5831.3487290677. The cubic root of 34004628 is about 323.9758784054.

The spelling of 34004628 in words is "thirty-four million, four thousand, six hundred twenty-eight".