3661888 has 28 divisors (see below), whose sum is σ = 7520940. Its totient is φ = 1766912.

The previous prime is 3661871. The next prime is 3661907. The reversal of 3661888 is 8881663.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 2334784 = 1152^2 + 1528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3661888.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 870 + ... + 2842.

It is an arithmetic number, because the mean of its divisors is an integer number (268605).

Almost surely, 2^3661888 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 3661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760470).

3661888 is an abundant number, since it is smaller than the sum of its proper divisors (3859052).

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

3661888 is a wasteful number, since it uses less digits than its factorization.

3661888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2004 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 3661888 is about 1913.6060200574. The cubic root of 3661888 is about 154.1351486904.

Adding to 3661888 its product of digits (55296), we get a square (3717184 = 1928²).

The spelling of 3661888 in words is "three million, six hundred sixty-one thousand, eight hundred eighty-eight".