3891888 has 240 divisors, whose sum is σ = 15165696. Its totient is φ = 933120.

The previous prime is 3891883. The next prime is 3891893. The reversal of 3891888 is 8881983.

3891888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3891883) and next prime (3891893).

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

Its product of digits (110592) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3891883) 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 47 ways as a sum of consecutive naturals, for example, 299370 + ... + 299382.

Almost surely, 2^3891888 is an apocalyptic number.

3891888 is the 1248-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3891888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582848).

3891888 is an abundant number, since it is smaller than the sum of its proper divisors (11273808).

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

3891888 is a wasteful number, since it uses less digits than its factorization.

3891888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 3891888 is about 1972.7868612701. The cubic root of 3891888 is about 157.2968810185.

The spelling of 3891888 in words is "three million, eight hundred ninety-one thousand, eight hundred eighty-eight".