3472800 has 72 divisors (see below), whose sum is σ = 11311776. Its totient is φ = 925440.

The previous prime is 3472787. The next prime is 3472817. The reversal of 3472800 is 82743.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1677 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (157108).

Almost surely, 2^3472800 is an apocalyptic number.

3472800 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 3472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655888).

3472800 is an abundant number, since it is smaller than the sum of its proper divisors (7838976).

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

3472800 is a wasteful number, since it uses less digits than its factorization.

3472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3472800 is about 1863.5450088474. The cubic root of 3472800 is about 151.4351147387.

The spelling of 3472800 in words is "three million, four hundred seventy-two thousand, eight hundred".