34439904 has 144 divisors (see below), whose sum is σ = 104936832. Its totient is φ = 11104128.

The previous prime is 34439903. The next prime is 34439921. The reversal of 34439904 is 40993443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34439904² = 2372213975058432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34439903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334317 + ... + 334419.

It is an arithmetic number, because the mean of its divisors is an integer number (728728).

Almost surely, 2^34439904 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 34439904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468416).

34439904 is an abundant number, since it is smaller than the sum of its proper divisors (70496928).

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

34439904 is a wasteful number, since it uses less digits than its factorization.

34439904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34439904 is about 5868.5521212647. The cubic root of 34439904 is about 325.3523720531.

The spelling of 34439904 in words is "thirty-four million, four hundred thirty-nine thousand, nine hundred four".