3631880 has 96 divisors (see below), whose sum is σ = 10157400. Its totient is φ = 1161216.

The previous prime is 3631877. The next prime is 3631889. The reversal of 3631880 is 881363.

3631880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3467044 + 164836 = 1862^2 + 406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33266 + ... + 33374.

Almost surely, 2^3631880 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 3631880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078700).

3631880 is an abundant number, since it is smaller than the sum of its proper divisors (6525520).

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

3631880 is a wasteful number, since it uses less digits than its factorization.

3631880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3631880 is about 1905.7491965104. The cubic root of 3631880 is about 153.7129639570.

The spelling of 3631880 in words is "three million, six hundred thirty-one thousand, eight hundred eighty".