4034004 has 48 divisors (see below), whose sum is σ = 10678080. Its totient is φ = 1175040.

The previous prime is 4033979. The next prime is 4034011. The reversal of 4034004 is 4004304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284 + ... + 3644.

It is an arithmetic number, because the mean of its divisors is an integer number (222460).

Almost surely, 2^4034004 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 4034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339040).

4034004 is an abundant number, since it is smaller than the sum of its proper divisors (6644076).

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

4034004 is a wasteful number, since it uses less digits than its factorization.

4034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

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

The square root of 4034004 is about 2008.4830096369. The cubic root of 4034004 is about 159.1886530973.

Adding to 4034004 its reverse (4004304), we get a palindrome (8038308).

The spelling of 4034004 in words is "four million, thirty-four thousand, four", and thus it is an eban number.