34140400 has 120 divisors (see below), whose sum is σ = 95484960. Its totient is φ = 11489280.

The previous prime is 34140389. The next prime is 34140443. The reversal of 34140400 is 404143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249132 + ... + 249268.

It is an arithmetic number, because the mean of its divisors is an integer number (795708).

Almost surely, 2^34140400 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 34140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742480).

34140400 is an abundant number, since it is smaller than the sum of its proper divisors (61344560).

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

34140400 is a wasteful number, since it uses less digits than its factorization.

34140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

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

The square root of 34140400 is about 5842.9786924137. The cubic root of 34140400 is about 324.4064907682.

Adding to 34140400 its reverse (404143), we get a palindrome (34544543).

The spelling of 34140400 in words is "thirty-four million, one hundred forty thousand, four hundred".