3641640 has 32 divisors (see below), whose sum is σ = 10925280. Its totient is φ = 971072.

The previous prime is 3641633. The next prime is 3641641. The reversal of 3641640 is 461463.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3641640.

It is not an unprimeable number, because it can be changed into a prime (3641641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15054 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (341415).

Almost surely, 2^3641640 is an apocalyptic number.

3641640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641640 is an abundant number, since it is smaller than the sum of its proper divisors (7283640).

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

3641640 is a wasteful number, since it uses less digits than its factorization.

3641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30361 (or 30357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3641640 is about 1908.3081512167. The cubic root of 3641640 is about 153.8505324395.

The spelling of 3641640 in words is "three million, six hundred forty-one thousand, six hundred forty".