3653640 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 912384.

The previous prime is 3653603. The next prime is 3653647. The reversal of 3653640 is 463563.

3653640 is a `hidden beast` number, since 3 + 653 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3653647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18261 + ... + 18459.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 2^3653640 is an apocalyptic number.

3653640 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 3653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

3653640 is an abundant number, since it is smaller than the sum of its proper divisors (9306360).

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

3653640 is a wasteful number, since it uses less digits than its factorization.

3653640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3653640 is about 1911.4497116064. The cubic root of 3653640 is about 154.0193375391.

It can be divided in two parts, 365 and 3640, that added together give a triangular number (4005 = T₈₉).

The spelling of 3653640 in words is "three million, six hundred fifty-three thousand, six hundred forty".