3888768 has 128 divisors (see below), whose sum is σ = 11995200. Its totient is φ = 1105920.

The previous prime is 3888763. The next prime is 3888823. The reversal of 3888768 is 8678883.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3888761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94828 + ... + 94868.

Almost surely, 2^3888768 is an apocalyptic number.

3888768 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 3888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997600).

3888768 is an abundant number, since it is smaller than the sum of its proper divisors (8106432).

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

3888768 is a wasteful number, since it uses less digits than its factorization.

3888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 3888768 is about 1971.9959432007. The cubic root of 3888768 is about 157.2548365171.

It can be divided in two parts, 3888 and 768, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 3888768 in words is "three million, eight hundred eighty-eight thousand, seven hundred sixty-eight".