3314321640 has 288 divisors, whose sum is σ = 12540827520. Its totient is φ = 743565312.

The previous prime is 3314321627. The next prime is 3314321669. The reversal of 3314321640 is 461234133.

3314321640 is a `hidden beast` number, since 3 + 3 + 14 + 3 + 2 + 1 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 29330224 + ... + 29330336.

It is an arithmetic number, because the mean of its divisors is an integer number (43544540).

Almost surely, 2^3314321640 is an apocalyptic number.

3314321640 is a gapful number since it is divisible by the number (30) 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 3314321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270413760).

3314321640 is an abundant number, since it is smaller than the sum of its proper divisors (9226505880).

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

3314321640 is a wasteful number, since it uses less digits than its factorization.

3314321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3314321640 is about 57570.1453880395. The cubic root of 3314321640 is about 1490.9561959907.

Adding to 3314321640 its reverse (461234133), we get a palindrome (3775555773).

The spelling of 3314321640 in words is "three billion, three hundred fourteen million, three hundred twenty-one thousand, six hundred forty".