34104400 has 120 divisors (see below), whose sum is σ = 93547584. Its totient is φ = 11827200.

The previous prime is 34104361. The next prime is 34104401. The reversal of 34104400 is 440143.

It is a super-2 number, since 2×34104400² = 2326220198720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34104401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101032 + ... + 101368.

Almost surely, 2^34104400 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 34104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46773792).

34104400 is an abundant number, since it is smaller than the sum of its proper divisors (59443184).

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

34104400 is a wasteful number, since it uses less digits than its factorization.

34104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34104400 is about 5839.8972593702. The cubic root of 34104400 is about 324.2924251159.

Adding to 34104400 its reverse (440143), we get a palindrome (34544543).

The spelling of 34104400 in words is "thirty-four million, one hundred four thousand, four hundred".