3506616 has 48 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 1155840.

The previous prime is 3506567. The next prime is 3506663. The reversal of 3506616 is 6166053.

It is a self number, because there is not a number n which added to its sum of digits gives 3506616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7921 + ... + 8351.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^3506616 is an apocalyptic number.

3506616 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 3506616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

3506616 is an abundant number, since it is smaller than the sum of its proper divisors (6096744).

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

3506616 is a wasteful number, since it uses less digits than its factorization.

3506616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3506616 is about 1872.5960589513. The cubic root of 3506616 is about 151.9250553902.

The spelling of 3506616 in words is "three million, five hundred six thousand, six hundred sixteen".