3631960 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1344000.

The previous prime is 3631951. The next prime is 3631963. The reversal of 3631960 is 691363.

It is a super-2 number, since 2×3631960² = 26382266883200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35910 + ... + 36010.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^3631960 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 3631960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3631960 is an abundant number, since it is smaller than the sum of its proper divisors (5180840).

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

3631960 is a wasteful number, since it uses less digits than its factorization.

3631960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3631960 is about 1905.7701855156. The cubic root of 3631960 is about 153.7140925687.

The spelling of 3631960 in words is "three million, six hundred thirty-one thousand, nine hundred sixty".