3640500 has 72 divisors (see below), whose sum is σ = 11498760. Its totient is φ = 969600.

The previous prime is 3640493. The next prime is 3640519. The reversal of 3640500 is 50463.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 3640464 = 6^2 + 1908^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^3640500 is an apocalyptic number.

3640500 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 3640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749380).

3640500 is an abundant number, since it is smaller than the sum of its proper divisors (7858260).

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

3640500 is a wasteful number, since it uses less digits than its factorization.

3640500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3640500 is about 1908.0094339389. The cubic root of 3640500 is about 153.8344766778.

Adding to 3640500 its reverse (50463), we get a palindrome (3690963).

The spelling of 3640500 in words is "three million, six hundred forty thousand, five hundred".