3168671040 has 336 divisors, whose sum is σ = 11633606400. Its totient is φ = 789295104.

The previous prime is 3168671029. The next prime is 3168671071. The reversal of 3168671040 is 401768613.

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 = 3168670986 and 3168671004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322514 + ... + 4323246.

Almost surely, 2^3168671040 is an apocalyptic number.

3168671040 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 3168671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816803200).

3168671040 is an abundant number, since it is smaller than the sum of its proper divisors (8464935360).

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

3168671040 is a wasteful number, since it uses less digits than its factorization.

3168671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3168671040 is about 56290.9498942770. The cubic root of 3168671040 is about 1468.7877830872.

The spelling of 3168671040 in words is "three billion, one hundred sixty-eight million, six hundred seventy-one thousand, forty".