3238400 has 120 divisors (see below), whose sum is σ = 9133344. Its totient is φ = 1126400.

The previous prime is 3238399. The next prime is 3238409. The reversal of 3238400 is 48323.

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 (3238409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140789 + ... + 140811.

Almost surely, 2^3238400 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 3238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566672).

3238400 is an abundant number, since it is smaller than the sum of its proper divisors (5894944).

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

3238400 is a wasteful number, since it uses less digits than its factorization.

3238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

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

The square root of 3238400 is about 1799.5555006723. Note that the first 4 decimals coincide. The cubic root of 3238400 is about 147.9483627991.

The spelling of 3238400 in words is "three million, two hundred thirty-eight thousand, four hundred".