3691116 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1028160.

The previous prime is 3691087. The next prime is 3691147. The reversal of 3691116 is 6111963.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3691116.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15325 + ... + 15563.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 2^3691116 is an apocalyptic number.

3691116 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 3691116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3691116 is an abundant number, since it is smaller than the sum of its proper divisors (7598484).

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

3691116 is a wasteful number, since it uses less digits than its factorization.

3691116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 3691116 is about 1921.2277324669. The cubic root of 3691116 is about 154.5441480020.

It can be divided in two parts, 369 and 1116, that added together give a triangular number (1485 = T₅₄).

The spelling of 3691116 in words is "three million, six hundred ninety-one thousand, one hundred sixteen".