3887640 has 48 divisors (see below), whose sum is σ = 12636000. Its totient is φ = 1036608.

The previous prime is 3887623. The next prime is 3887641. The reversal of 3887640 is 467883.

3887640 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 640 = 666.

It is a super-2 number, since 2×3887640² = 30227489539200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3887595 and 3887604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5040 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 2^3887640 is an apocalyptic number.

3887640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3887640 is an abundant number, since it is smaller than the sum of its proper divisors (8748360).

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

3887640 is a wasteful number, since it uses less digits than its factorization.

3887640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10816 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3887640 is about 1971.7099178125. The cubic root of 3887640 is about 157.2396302779.

It can be divided in two parts, 38 and 87640, that added together give a palindrome (87678).

The spelling of 3887640 in words is "three million, eight hundred eighty-seven thousand, six hundred forty".