3412111616 has 72 divisors (see below), whose sum is σ = 7330327704. Its totient is φ = 1579253760.

The previous prime is 3412111559. The next prime is 3412111639. The reversal of 3412111616 is 6161112143.

It can be written as a sum of positive squares in 4 ways, for example, as 36966400 + 3375145216 = 6080^2 + 58096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259046 + ... + 271898.

It is an arithmetic number, because the mean of its divisors is an integer number (101810107).

Almost surely, 2^3412111616 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 3412111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665163852).

3412111616 is an abundant number, since it is smaller than the sum of its proper divisors (3918216088).

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

3412111616 is a wasteful number, since it uses less digits than its factorization.

3412111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12933 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 3412111616 is about 58413.2828729905. The cubic root of 3412111616 is about 1505.4779872688.

Adding to 3412111616 its reverse (6161112143), we get a palindrome (9573223759).

The spelling of 3412111616 in words is "three billion, four hundred twelve million, one hundred eleven thousand, six hundred sixteen".