3145680000 has 480 divisors, whose sum is σ = 12023385660. Its totient is φ = 786432000.

The previous prime is 3145679993. The next prime is 3145680001. The reversal of 3145680000 is 865413.

3145680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 117158976 + 3028521024 = 10824^2 + 55032^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (3145680001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239872 + ... + 12240128.

Almost surely, 2^3145680000 is an apocalyptic number.

3145680000 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 3145680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011692830).

3145680000 is an abundant number, since it is smaller than the sum of its proper divisors (8877705660).

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

3145680000 is a wasteful number, since it uses less digits than its factorization.

3145680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3145680000 is about 56086.3619786486. The cubic root of 3145680000 is about 1465.2267778637.

The spelling of 3145680000 in words is "three billion, one hundred forty-five million, six hundred eighty thousand".