3147655680 has 640 divisors, whose sum is σ = 12539197440. Its totient is φ = 743178240.

The previous prime is 3147655669. The next prime is 3147655699. The reversal of 3147655680 is 865567413.

3147655680 is a `hidden beast` number, since 3 + 14 + 7 + 6 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27855304 + ... + 27855416.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^3147655680 is an apocalyptic number.

3147655680 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 3147655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720).

3147655680 is an abundant number, since it is smaller than the sum of its proper divisors (9391541760).

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

3147655680 is a wasteful number, since it uses less digits than its factorization.

3147655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3147655680 is about 56103.9720518966. The cubic root of 3147655680 is about 1465.5334644318.

The spelling of 3147655680 in words is "three billion, one hundred forty-seven million, six hundred fifty-five thousand, six hundred eighty".