34112400 has 240 divisors, whose sum is σ = 129896448. Its totient is φ = 7488000.

The previous prime is 34112399. The next prime is 34112411. The reversal of 34112400 is 421143.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34112400.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 260335 + ... + 260465.

Almost surely, 2^34112400 is an apocalyptic number.

34112400 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 34112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64948224).

34112400 is an abundant number, since it is smaller than the sum of its proper divisors (95784048).

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

34112400 is a wasteful number, since it uses less digits than its factorization.

34112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34112400 is about 5840.5821627643. The cubic root of 34112400 is about 324.3177799731.

Adding to 34112400 its reverse (421143), we get a palindrome (34533543).

The spelling of 34112400 in words is "thirty-four million, one hundred twelve thousand, four hundred".