3382400 has 96 divisors (see below), whose sum is σ = 9612480. Its totient is φ = 1152000.

The previous prime is 3382387. The next prime is 3382409. The reversal of 3382400 is 42833.

It is a super-2 number, since 2×3382400² = 22881259520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3382409) 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, 22325 + ... + 22475.

It is an arithmetic number, because the mean of its divisors is an integer number (100130).

Almost surely, 2^3382400 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 3382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806240).

3382400 is an abundant number, since it is smaller than the sum of its proper divisors (6230080).

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

3382400 is a wasteful number, since it uses less digits than its factorization.

3382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

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

The square root of 3382400 is about 1839.1302292116. The cubic root of 3382400 is about 150.1095496027.

The spelling of 3382400 in words is "three million, three hundred eighty-two thousand, four hundred".