34025200 has 180 divisors, whose sum is σ = 97137880. Its totient is φ = 11404800.

The previous prime is 34025191. The next prime is 34025231. The reversal of 34025200 is 252043.

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 35 ways as a sum of consecutive naturals, for example, 919582 + ... + 919618.

Almost surely, 2^34025200 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 34025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568940).

34025200 is an abundant number, since it is smaller than the sum of its proper divisors (63112680).

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

34025200 is a wasteful number, since it uses less digits than its factorization.

34025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34025200 is about 5833.1123767677. The cubic root of 34025200 is about 324.0411978300.

Adding to 34025200 its reverse (252043), we get a palindrome (34277243).

It can be divided in two parts, 34025 and 200, that added together give a square (34225 = 185²).

The spelling of 34025200 in words is "thirty-four million, twenty-five thousand, two hundred".