3412031616 has 192 divisors, whose sum is σ = 11583936000. Its totient is φ = 943349760.

The previous prime is 3412031611. The next prime is 3412031621. The reversal of 3412031616 is 6161302143.

3412031616 is a `hidden beast` number, since 3 + 4 + 12 + 0 + 31 + 616 = 666.

3412031616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3412031611) and next prime (3412031621).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3412031616.

It is not an unprimeable number, because it can be changed into a prime (3412031611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243160 + ... + 256808.

It is an arithmetic number, because the mean of its divisors is an integer number (60333000).

Almost surely, 2^3412031616 is an apocalyptic number.

3412031616 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 3412031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791968000).

3412031616 is an abundant number, since it is smaller than the sum of its proper divisors (8171904384).

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

3412031616 is a wasteful number, since it uses less digits than its factorization.

3412031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13707 (or 13692 counting only the distinct ones).

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

The square root of 3412031616 is about 58412.5980932196. The cubic root of 3412031616 is about 1505.4662214188.

Adding to 3412031616 its reverse (6161302143), we get a palindrome (9573333759).

The spelling of 3412031616 in words is "three billion, four hundred twelve million, thirty-one thousand, six hundred sixteen".