3147439680 has 1120 divisors, whose sum is σ = 14870338560. Its totient is φ = 612126720.

The previous prime is 3147439657. The next prime is 3147439697. The reversal of 3147439680 is 869347413.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 37920919 + ... + 37921001.

It is an arithmetic number, because the mean of its divisors is an integer number (13277088).

Almost surely, 2^3147439680 is an apocalyptic number.

3147439680 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 3147439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435169280).

3147439680 is an abundant number, since it is smaller than the sum of its proper divisors (11722898880).

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

3147439680 is a wasteful number, since it uses less digits than its factorization.

3147439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3147439680 is about 56102.0470214769. The cubic root of 3147439680 is about 1465.4999408085.

It can be divided in two parts, 314743 and 9680, that added together give a palindrome (324423).

The spelling of 3147439680 in words is "three billion, one hundred forty-seven million, four hundred thirty-nine thousand, six hundred eighty".