3168275040 has 384 divisors, whose sum is σ = 13420753920. Its totient is φ = 681467904.

The previous prime is 3168275021. The next prime is 3168275053. The reversal of 3168275040 is 405728613.

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 = 3168274986 and 3168275004.

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 63 ways as a sum of consecutive naturals, for example, 510999 + ... + 517161.

It is an arithmetic number, because the mean of its divisors is an integer number (34949880).

Almost surely, 2^3168275040 is an apocalyptic number.

3168275040 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 3168275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710376960).

3168275040 is an abundant number, since it is smaller than the sum of its proper divisors (10252478880).

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

3168275040 is a wasteful number, since it uses less digits than its factorization.

3168275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3168275040 is about 56287.4323450626. The cubic root of 3168275040 is about 1468.7265940076.

The spelling of 3168275040 in words is "three billion, one hundred sixty-eight million, two hundred seventy-five thousand, forty".