3147768000 has 896 divisors, whose sum is σ = 13313664000. Its totient is φ = 721612800.

The previous prime is 3147767999. The next prime is 3147768011. The reversal of 3147768000 is 8677413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53351971 + ... + 53352029.

It is an arithmetic number, because the mean of its divisors is an integer number (14859000).

Almost surely, 2^3147768000 is an apocalyptic number.

3147768000 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 3147768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

3147768000 is an abundant number, since it is smaller than the sum of its proper divisors (10165896000).

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

3147768000 is a wasteful number, since it uses less digits than its factorization.

3147768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3147768000 is about 56104.9730416119. The cubic root of 3147768000 is about 1465.5508961098.

The spelling of 3147768000 in words is "three billion, one hundred forty-seven million, seven hundred sixty-eight thousand".