3657960 has 80 divisors (see below), whose sum is σ = 12305700. Its totient is φ = 974592.

The previous prime is 3657959. The next prime is 3657961. The reversal of 3657960 is 697563.

It is a happy number.

3657960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3657959) and next prime (3657961).

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 352836 = 1818^2 + 594^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3657961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2676 + ... + 3804.

Almost surely, 2^3657960 is an apocalyptic number.

3657960 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 3657960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152850).

3657960 is an abundant number, since it is smaller than the sum of its proper divisors (8647740).

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

3657960 is a wasteful number, since it uses less digits than its factorization.

3657960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3657960 is about 1912.5794101161. The cubic root of 3657960 is about 154.0800168865.

The spelling of 3657960 in words is "three million, six hundred fifty-seven thousand, nine hundred sixty".