3612888 has 72 divisors (see below), whose sum is σ = 10401300. Its totient is φ = 1132704.

The previous prime is 3612883. The next prime is 3612893. The reversal of 3612888 is 8882163.

It is an interprime number because it is at equal distance from previous prime (3612883) and next prime (3612893).

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612883) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25923 + ... + 26061.

Almost surely, 2^3612888 is an apocalyptic number.

3612888 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200650).

3612888 is an abundant number, since it is smaller than the sum of its proper divisors (6788412).

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

3612888 is a wasteful number, since it uses less digits than its factorization.

3612888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

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

The square root of 3612888 is about 1900.7598480608. The cubic root of 3612888 is about 153.4445611779. Note that the first 3 decimals are identical.

It can be divided in two parts, 361 and 2888, that added together give a square (3249 = 57²).

The spelling of 3612888 in words is "three million, six hundred twelve thousand, eight hundred eighty-eight".