34004000 has 48 divisors (see below), whose sum is σ = 83557656. Its totient is φ = 13600000.

The previous prime is 34003997. The next prime is 34004017. The reversal of 34004000 is 40043.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 30514576 = 1868^2 + 5524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251 + ... + 8250.

Almost surely, 2^34004000 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 34004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41778828).

34004000 is an abundant number, since it is smaller than the sum of its proper divisors (49553656).

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

34004000 is an equidigital number, since it uses as much as digits as its factorization.

34004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34004000 is about 5831.2948819280. The cubic root of 34004000 is about 323.9738839896.

Adding to 34004000 its reverse (40043), we get a palindrome (34044043).

The spelling of 34004000 in words is "thirty-four million, four thousand", and thus it is an eban number.