3643500 has 96 divisors (see below), whose sum is σ = 12160512. Its totient is φ = 830400.

The previous prime is 3643483. The next prime is 3643511. The reversal of 3643500 is 53463.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10327 + ... + 10673.

It is an arithmetic number, because the mean of its divisors is an integer number (126672).

Almost surely, 2^3643500 is an apocalyptic number.

3643500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080256).

3643500 is an abundant number, since it is smaller than the sum of its proper divisors (8517012).

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

3643500 is a wasteful number, since it uses less digits than its factorization.

3643500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3643500 is about 1908.7954316794. The cubic root of 3643500 is about 153.8767214902.

Adding to 3643500 its reverse (53463), we get a palindrome (3696963).

The spelling of 3643500 in words is "three million, six hundred forty-three thousand, five hundred".