3442800 has 120 divisors (see below), whose sum is σ = 11685760. Its totient is φ = 864000.

The previous prime is 3442799. The next prime is 3442807. The reversal of 3442800 is 82443.

3442800 = T₁₀₉ + T₁₁₀ + ... + T₂₇₉.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22725 + ... + 22875.

Almost surely, 2^3442800 is an apocalyptic number.

3442800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842880).

3442800 is an abundant number, since it is smaller than the sum of its proper divisors (8242960).

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

3442800 is a wasteful number, since it uses less digits than its factorization.

3442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3442800 is about 1855.4783749750. The cubic root of 3442800 is about 150.9977924622.

The spelling of 3442800 in words is "three million, four hundred forty-two thousand, eight hundred".