3875160 has 64 divisors (see below), whose sum is σ = 11911680. Its totient is φ = 1008000.

The previous prime is 3875159. The next prime is 3875161. The reversal of 3875160 is 615783.

It is an interprime number because it is at equal distance from previous prime (3875159) and next prime (3875161).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3875161) 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, 4785 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (186120).

Almost surely, 2^3875160 is an apocalyptic number.

3875160 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 3875160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955840).

3875160 is an abundant number, since it is smaller than the sum of its proper divisors (8036520).

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

3875160 is a wasteful number, since it uses less digits than its factorization.

3875160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 3875160 is about 1968.5426081241. The cubic root of 3875160 is about 157.0711944002.

The spelling of 3875160 in words is "three million, eight hundred seventy-five thousand, one hundred sixty".