34412400 has 270 divisors, whose sum is σ = 132925520. Its totient is φ = 8236800.

The previous prime is 34412353. The next prime is 34412429. The reversal of 34412400 is 421443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435561 + ... + 435639.

Almost surely, 2^34412400 is an apocalyptic number.

34412400 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 34412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66462760).

34412400 is an abundant number, since it is smaller than the sum of its proper divisors (98513120).

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

34412400 is a wasteful number, since it uses less digits than its factorization.

34412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34412400 is about 5866.2083154283. The cubic root of 34412400 is about 325.2657392641.

Adding to 34412400 its reverse (421443), we get a palindrome (34833843).

The spelling of 34412400 in words is "thirty-four million, four hundred twelve thousand, four hundred".