34120400 has 60 divisors (see below), whose sum is σ = 82580652. Its totient is φ = 13547520.

The previous prime is 34120381. The next prime is 34120403. The reversal of 34120400 is 402143.

It can be written as a sum of positive squares in 6 ways, for example, as 61504 + 34058896 = 248^2 + 5836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78584 + ... + 79016.

Almost surely, 2^34120400 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 34120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41290326).

34120400 is an abundant number, since it is smaller than the sum of its proper divisors (48460252).

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

34120400 is a wasteful number, since it uses less digits than its factorization.

34120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34120400 is about 5841.2669858516. The cubic root of 34120400 is about 324.3431308664.

Adding to 34120400 its reverse (402143), we get a palindrome (34522543).

The spelling of 34120400 in words is "thirty-four million, one hundred twenty thousand, four hundred".