3145080960 has 576 divisors, whose sum is σ = 13009014720. Its totient is φ = 712157184.

The previous prime is 3145080941. The next prime is 3145081057. The reversal of 3145080960 is 690805413.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29393227 + ... + 29393333.

It is an arithmetic number, because the mean of its divisors is an integer number (22585095).

Almost surely, 2^3145080960 is an apocalyptic number.

3145080960 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 3145080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504507360).

3145080960 is an abundant number, since it is smaller than the sum of its proper divisors (9863933760).

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

3145080960 is an frugal number, since it uses more digits than its factorization.

3145080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3145080960 is about 56081.0213887015. The cubic root of 3145080960 is about 1465.1337629807.

The spelling of 3145080960 in words is "three billion, one hundred forty-five million, eighty thousand, nine hundred sixty".