3648900 has 36 divisors (see below), whose sum is σ = 10558352. Its totient is φ = 972960.

The previous prime is 3648899. The next prime is 3648913. The reversal of 3648900 is 98463.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5782 + ... + 6381.

Almost surely, 2^3648900 is an apocalyptic number.

3648900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3648900 is an abundant number, since it is smaller than the sum of its proper divisors (6909452).

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

3648900 is a wasteful number, since it uses less digits than its factorization.

3648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3648900 is about 1910.2094126038. The cubic root of 3648900 is about 153.9527037533.

The spelling of 3648900 in words is "three million, six hundred forty-eight thousand, nine hundred".