34004040 has 96 divisors (see below), whose sum is σ = 118687680. Its totient is φ = 7771008.

The previous prime is 34004017. The next prime is 34004071. The reversal of 34004040 is 4040043.

It is a Harshad number since it is a multiple of its sum of digits (15).

34004040 is a modest number, since divided by 4040 gives 3400 as remainder.

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, 2989 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (1236330).

Almost surely, 2^34004040 is an apocalyptic number.

34004040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59343840).

34004040 is an abundant number, since it is smaller than the sum of its proper divisors (84683640).

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

34004040 is a wasteful number, since it uses less digits than its factorization.

34004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34004040 is about 5831.2983116970. The cubic root of 34004040 is about 323.9740110232.

Adding to 34004040 its reverse (4040043), we get a palindrome (38044083).

The spelling of 34004040 in words is "thirty-four million, four thousand, forty", and thus it is an eban number.