3168303840 has 432 divisors, whose sum is σ = 11999752128. Its totient is φ = 760541184.

The previous prime is 3168303811. The next prime is 3168303847. The reversal of 3168303840 is 483038613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3168303795 and 3168303804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3168303847) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11437782 + ... + 11438058.

It is an arithmetic number, because the mean of its divisors is an integer number (27777204).

Almost surely, 2^3168303840 is an apocalyptic number.

3168303840 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 3168303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999876064).

3168303840 is an abundant number, since it is smaller than the sum of its proper divisors (8831448288).

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

3168303840 is a wasteful number, since it uses less digits than its factorization.

3168303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3168303840 is about 56287.6881742358. The cubic root of 3168303840 is about 1468.7310442944.

The spelling of 3168303840 in words is "three billion, one hundred sixty-eight million, three hundred three thousand, eight hundred forty".