3452800 has 96 divisors (see below), whose sum is σ = 9296280. Its totient is φ = 1259520.

The previous prime is 3452797. The next prime is 3452809. The reversal of 3452800 is 82543.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452809) 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, 41559 + ... + 41641.

Almost surely, 2^3452800 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 3452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648140).

3452800 is an abundant number, since it is smaller than the sum of its proper divisors (5843480).

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

3452800 is a wasteful number, since it uses less digits than its factorization.

3452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3452800 is about 1858.1711438939. The cubic root of 3452800 is about 151.1438478350.

The spelling of 3452800 in words is "three million, four hundred fifty-two thousand, eight hundred".