3895872 has 56 divisors (see below), whose sum is σ = 10460736. Its totient is φ = 1279488.

The previous prime is 3895867. The next prime is 3895883. The reversal of 3895872 is 2785983.

Its product of digits (120960) is a multiple of the sum of its prime factors (315).

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, 19678 + ... + 19874.

Almost surely, 2^3895872 is an apocalyptic number.

3895872 is a gapful number since it is divisible by the number (32) 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 3895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230368).

3895872 is an abundant number, since it is smaller than the sum of its proper divisors (6564864).

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

3895872 is a wasteful number, since it uses less digits than its factorization.

3895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 3895872 is about 1973.7963420779. The cubic root of 3895872 is about 157.3505359594.

The spelling of 3895872 in words is "three million, eight hundred ninety-five thousand, eight hundred seventy-two".