3697960 has 64 divisors (see below), whose sum is σ = 9745920. Its totient is φ = 1236480.

The previous prime is 3697949. The next prime is 3697997. The reversal of 3697960 is 697963.

3697960 = T₁ + T₂ + ... + T₂₈₀.

3697960 is a nontrivial binomial coefficient, being equal to C(282, 3).

It is a Smith number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is the 280-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13020 + ... + 13300.

It is an arithmetic number, because the mean of its divisors is an integer number (152280).

Almost surely, 2^3697960 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 3697960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872960).

3697960 is an abundant number, since it is smaller than the sum of its proper divisors (6047960).

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

3697960 is a wasteful number, since it uses less digits than its factorization.

3697960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 3697960 is about 1923.0080603055. The cubic root of 3697960 is about 154.6396066743.

The spelling of 3697960 in words is "three million, six hundred ninety-seven thousand, nine hundred sixty".