3428800 has 42 divisors (see below), whose sum is σ = 8440928. Its totient is φ = 1370880.

The previous prime is 3428783. The next prime is 3428801. The reversal of 3428800 is 88243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529 + ... + 2671.

Almost surely, 2^3428800 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 3428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220464).

3428800 is an abundant number, since it is smaller than the sum of its proper divisors (5012128).

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

3428800 is a wasteful number, since it uses less digits than its factorization.

3428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3428800 is about 1851.7019198564. The cubic root of 3428800 is about 150.7928390289.

The spelling of 3428800 in words is "three million, four hundred twenty-eight thousand, eight hundred".