3083616 has 96 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 991872.

The previous prime is 3083581. The next prime is 3083621. The reversal of 3083616 is 6163803.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3083616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37111 + ... + 37193.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

Almost surely, 2^3083616 is an apocalyptic number.

3083616 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 3083616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3083616 is an abundant number, since it is smaller than the sum of its proper divisors (6230304).

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

3083616 is a wasteful number, since it uses less digits than its factorization.

3083616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3083616 is about 1756.0227788955. The cubic root of 3083616 is about 145.5526432954.

The spelling of 3083616 in words is "three million, eighty-three thousand, six hundred sixteen".