3887760 has 80 divisors (see below), whose sum is σ = 12249216. Its totient is φ = 1019904.

The previous prime is 3887753. The next prime is 3887771. The reversal of 3887760 is 677883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3887760² = 30229355635200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23197 + ... + 23363.

Almost surely, 2^3887760 is an apocalyptic number.

3887760 is a gapful number since it is divisible by the number (30) 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 3887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124608).

3887760 is an abundant number, since it is smaller than the sum of its proper divisors (8361456).

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

3887760 is a wasteful number, since it uses less digits than its factorization.

3887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 3887760 is about 1971.7403480175. The cubic root of 3887760 is about 157.2412481028.

The spelling of 3887760 in words is "three million, eight hundred eighty-seven thousand, seven hundred sixty".