3885120 has 168 divisors, whose sum is σ = 14264640. Its totient is φ = 967680.

The previous prime is 3885109. The next prime is 3885121. The reversal of 3885120 is 215883.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54685 + ... + 54755.

Almost surely, 2^3885120 is an apocalyptic number.

3885120 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 3885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

3885120 is an abundant number, since it is smaller than the sum of its proper divisors (10379520).

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

3885120 is a wasteful number, since it uses less digits than its factorization.

3885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3885120 is about 1971.0707749850. The cubic root of 3885120 is about 157.2056482635.

It can be divided in two parts, 3885 and 120, that added together give a triangular number (4005 = T₈₉).

The spelling of 3885120 in words is "three million, eight hundred eighty-five thousand, one hundred twenty".