3889116 has 144 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 950400.

The previous prime is 3889079. The next prime is 3889157. The reversal of 3889116 is 6119883.

3889116 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×3889116² = 30250446522912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63726 + ... + 63786.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^3889116 is an apocalyptic number.

3889116 is a gapful number since it is divisible by the number (36) 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 3889116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3889116 is an abundant number, since it is smaller than the sum of its proper divisors (9110052).

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

3889116 is a wasteful number, since it uses less digits than its factorization.

3889116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3889116 is about 1972.0841767024. The cubic root of 3889116 is about 157.2595272102.

It can be divided in two parts, 3889 and 116, that added together give a triangular number (4005 = T₈₉).

The spelling of 3889116 in words is "three million, eight hundred eighty-nine thousand, one hundred sixteen".