3145284960 has 96 divisors (see below), whose sum is σ = 10338451200. Its totient is φ = 802272768.

The previous prime is 3145284959. The next prime is 3145284977. The reversal of 3145284960 is 694825413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131410 + ... + 153489.

It is an arithmetic number, because the mean of its divisors is an integer number (107692200).

Almost surely, 2^3145284960 is an apocalyptic number.

3145284960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145284960 is an abundant number, since it is smaller than the sum of its proper divisors (7193166240).

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

3145284960 is a wasteful number, since it uses less digits than its factorization.

3145284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284940 (or 284932 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3145284960 is about 56082.8401563259. The cubic root of 3145284960 is about 1465.1654400482.

The spelling of 3145284960 in words is "three billion, one hundred forty-five million, two hundred eighty-four thousand, nine hundred sixty".