3122261616 has 80 divisors (see below), whose sum is σ = 8549452800. Its totient is φ = 978484224.

The previous prime is 3122261609. The next prime is 3122261657. The reversal of 3122261616 is 6161622213.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172895 + ... + 1175553.

It is an arithmetic number, because the mean of its divisors is an integer number (106868160).

Almost surely, 2^3122261616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122261616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

3122261616 is an abundant number, since it is smaller than the sum of its proper divisors (5427191184).

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

3122261616 is a wasteful number, since it uses less digits than its factorization.

3122261616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3122261616 is about 55877.2012183860. The cubic root of 3122261616 is about 1461.5816998610.

Adding to 3122261616 its reverse (6161622213), we get a palindrome (9283883829).

The spelling of 3122261616 in words is "three billion, one hundred twenty-two million, two hundred sixty-one thousand, six hundred sixteen".