3745888 has 48 divisors (see below), whose sum is σ = 7968240. Its totient is φ = 1728000.

The previous prime is 3745879. The next prime is 3745891. The reversal of 3745888 is 8885473.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37038 + ... + 37138.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^3745888 is an apocalyptic number.

3745888 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 3745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120).

3745888 is an abundant number, since it is smaller than the sum of its proper divisors (4222352).

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

3745888 is a wasteful number, since it uses less digits than its factorization.

3745888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 3745888 is about 1935.4296680582. The cubic root of 3745888 is about 155.3048181287.

The spelling of 3745888 in words is "three million, seven hundred forty-five thousand, eight hundred eighty-eight".