3146316480 has 448 divisors, whose sum is σ = 12149084160. Its totient is φ = 763084800.

The previous prime is 3146316479. The next prime is 3146316491. The reversal of 3146316480 is 846136413.

It is a happy number.

3146316480 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 3 + 1 + 648 + 0 = 666.

3146316480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4552935 + ... + 4553625.

Almost surely, 2^3146316480 is an apocalyptic number.

3146316480 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 3146316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074542080).

3146316480 is an abundant number, since it is smaller than the sum of its proper divisors (9002767680).

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

3146316480 is a wasteful number, since it uses less digits than its factorization.

3146316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

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

The square root of 3146316480 is about 56092.0357983199. The cubic root of 3146316480 is about 1465.3255932389.

The spelling of 3146316480 in words is "three billion, one hundred forty-six million, three hundred sixteen thousand, four hundred eighty".