34251400 has 48 divisors (see below), whose sum is σ = 81596340. Its totient is φ = 13363200.

The previous prime is 34251389. The next prime is 34251401. The reversal of 34251400 is 415243.

It can be written as a sum of positive squares in 6 ways, for example, as 11383876 + 22867524 = 3374^2 + 4782^2 .

It is not an unprimeable number, because it can be changed into a prime (34251401) 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, 6112 + ... + 10288.

Almost surely, 2^34251400 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 34251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40798170).

34251400 is an abundant number, since it is smaller than the sum of its proper divisors (47344940).

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

34251400 is a wasteful number, since it uses less digits than its factorization.

34251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 34251400 is about 5852.4695642096. The cubic root of 34251400 is about 324.7576892073.

Adding to 34251400 its reverse (415243), we get a palindrome (34666643).

The spelling of 34251400 in words is "thirty-four million, two hundred fifty-one thousand, four hundred".