3663400 has 48 divisors (see below), whose sum is σ = 9179100. Its totient is φ = 1351680.

The previous prime is 3663383. The next prime is 3663419. The reversal of 3663400 is 43663.

It can be written as a sum of positive squares in 6 ways, for example, as 45796 + 3617604 = 214^2 + 1902^2 .

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, 1896 + ... + 3304.

Almost surely, 2^3663400 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 3663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589550).

3663400 is an abundant number, since it is smaller than the sum of its proper divisors (5515700).

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

3663400 is a wasteful number, since it uses less digits than its factorization.

3663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3663400 is about 1914.0010449318. The cubic root of 3663400 is about 154.1563599960.

It can be divided in two parts, 36 and 63400, that added together give a palindrome (63436).

The spelling of 3663400 in words is "three million, six hundred sixty-three thousand, four hundred".