34113400 has 48 divisors (see below), whose sum is σ = 79727040. Its totient is φ = 13574400.

The previous prime is 34113389. The next prime is 34113413. The reversal of 34113400 is 431143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55897 + ... + 56503.

It is an arithmetic number, because the mean of its divisors is an integer number (1660980).

Almost surely, 2^34113400 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 34113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39863520).

34113400 is an abundant number, since it is smaller than the sum of its proper divisors (45613640).

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

34113400 is a wasteful number, since it uses less digits than its factorization.

34113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34113400 is about 5840.6677700414. The cubic root of 34113400 is about 324.3209490515.

Adding to 34113400 its reverse (431143), we get a palindrome (34544543).

The spelling of 34113400 in words is "thirty-four million, one hundred thirteen thousand, four hundred".