3166880640 has 512 divisors, whose sum is σ = 13010042880. Its totient is φ = 635904000.

The previous prime is 3166880623. The next prime is 3166880719. The reversal of 3166880640 is 460886613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3166880592 and 3166880601.

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, 4582695 + ... + 4583385.

It is an arithmetic number, because the mean of its divisors is an integer number (25410240).

Almost surely, 2^3166880640 is an apocalyptic number.

3166880640 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 3166880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505021440).

3166880640 is an abundant number, since it is smaller than the sum of its proper divisors (9843162240).

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

3166880640 is a wasteful number, since it uses less digits than its factorization.

3166880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3166880640 is about 56275.0445579566. The cubic root of 3166880640 is about 1468.5110936843.

The spelling of 3166880640 in words is "three billion, one hundred sixty-six million, eight hundred eighty thousand, six hundred forty".