34260400 has 60 divisors (see below), whose sum is σ = 83253352. Its totient is φ = 13547520.

The previous prime is 34260377. The next prime is 34260403. The reversal of 34260400 is 406243.

It is not an unprimeable number, because it can be changed into a prime (34260403) 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, 38359 + ... + 39241.

Almost surely, 2^34260400 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 34260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41626676).

34260400 is an abundant number, since it is smaller than the sum of its proper divisors (48992952).

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

34260400 is a wasteful number, since it uses less digits than its factorization.

34260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34260400 is about 5853.2384198835. The cubic root of 34260400 is about 324.7861314826.

Adding to 34260400 its reverse (406243), we get a palindrome (34666643).

The spelling of 34260400 in words is "thirty-four million, two hundred sixty thousand, four hundred".