3621888 has 88 divisors (see below), whose sum is σ = 10808160. Its totient is φ = 1198080.

The previous prime is 3621887. The next prime is 3621889. The reversal of 3621888 is 8881263.

It is an interprime number because it is at equal distance from previous prime (3621887) and next prime (3621889).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3621881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27583 + ... + 27713.

It is an arithmetic number, because the mean of its divisors is an integer number (122820).

Almost surely, 2^3621888 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 3621888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404080).

3621888 is an abundant number, since it is smaller than the sum of its proper divisors (7186272).

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

3621888 is a wasteful number, since it uses less digits than its factorization.

3621888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3621888 is about 1903.1258497535. The cubic root of 3621888 is about 153.5718698486.

The spelling of 3621888 in words is "three million, six hundred twenty-one thousand, eight hundred eighty-eight".