3314311632 has 120 divisors (see below), whose sum is σ = 9641049600. Its totient is φ = 1061593344.

The previous prime is 3314311631. The next prime is 3314311723. The reversal of 3314311632 is 2361134133.

3314311632 is a `hidden beast` number, since 3 + 3 + 14 + 3 + 11 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3314311596 and 3314311605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314311631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929469 + ... + 933027.

It is an arithmetic number, because the mean of its divisors is an integer number (80342080).

Almost surely, 2^3314311632 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 3314311632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820524800).

3314311632 is an abundant number, since it is smaller than the sum of its proper divisors (6326737968).

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

3314311632 is a wasteful number, since it uses less digits than its factorization.

3314311632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3816 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3314311632 is about 57570.0584679224. The cubic root of 3314311632 is about 1490.9546952809.

Adding to 3314311632 its reverse (2361134133), we get a palindrome (5675445765).

The spelling of 3314311632 in words is "three billion, three hundred fourteen million, three hundred eleven thousand, six hundred thirty-two".