3642400 has 72 divisors (see below), whose sum is σ = 9257220. Its totient is φ = 1397760.

The previous prime is 3642377. The next prime is 3642427. The reversal of 3642400 is 42463.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 2650384 = 996^2 + 1628^2 .

It is an Ulam 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, 23122 + ... + 23278.

Almost surely, 2^3642400 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 3642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628610).

3642400 is an abundant number, since it is smaller than the sum of its proper divisors (5614820).

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

3642400 is a wasteful number, since it uses less digits than its factorization.

3642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3642400 is about 1908.5072700936. The cubic root of 3642400 is about 153.8612344191.

Adding to 3642400 its reverse (42463), we get a palindrome (3684863).

It can be divided in two parts, 36 and 42400, that added together give a square (42436 = 206²).

The spelling of 3642400 in words is "three million, six hundred forty-two thousand, four hundred".