3432800 has 72 divisors (see below), whose sum is σ = 9593136. Its totient is φ = 1175040.

The previous prime is 3432799. The next prime is 3432841. The reversal of 3432800 is 82343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5294 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (133238).

Almost surely, 2^3432800 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 3432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796568).

3432800 is an abundant number, since it is smaller than the sum of its proper divisors (6160336).

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

3432800 is a wasteful number, since it uses less digits than its factorization.

3432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3432800 is about 1852.7816924830. The cubic root of 3432800 is about 150.8514539920.

It can be divided in two parts, 343 and 2800, that multiplied together give a square (960400 = 980²).

The spelling of 3432800 in words is "three million, four hundred thirty-two thousand, eight hundred".