34014400 has 84 divisors (see below), whose sum is σ = 95684848. Its totient is φ = 11658240.

The previous prime is 34014391. The next prime is 34014437. The reversal of 34014400 is 441043.

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

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 11 ways as a sum of consecutive naturals, for example, 9682 + ... + 12718.

Almost surely, 2^34014400 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 34014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47842424).

34014400 is an abundant number, since it is smaller than the sum of its proper divisors (61670448).

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

34014400 is a wasteful number, since it uses less digits than its factorization.

34014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3051 counting only the distinct ones).

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

The square root of 34014400 is about 5832.1865539436. The cubic root of 34014400 is about 324.0069093685.

Adding to 34014400 its reverse (441043), we get a palindrome (34455443).

The spelling of 34014400 in words is "thirty-four million, fourteen thousand, four hundred".