3640000 has 140 divisors (see below), whose sum is σ = 11108944. Its totient is φ = 1152000.

The previous prime is 3639997. The next prime is 3640019. The reversal of 3640000 is 463.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279994 + ... + 280006.

Almost surely, 2^3640000 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 3640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554472).

3640000 is an abundant number, since it is smaller than the sum of its proper divisors (7468944).

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

3640000 is an equidigital number, since it uses as much as digits as its factorization.

3640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3640000 is about 1907.8784028339. The cubic root of 3640000 is about 153.8274336196.

Adding to 3640000 its reverse (463), we get a palindrome (3640463).

It can be divided in two parts, 36 and 40000, that multiplied together give a square (1440000 = 1200²).

The spelling of 3640000 in words is "three million, six hundred forty thousand".