3145980816 has 160 divisors (see below), whose sum is σ = 10013466240. Its totient is φ = 937612800.

The previous prime is 3145980791. The next prime is 3145980821. The reversal of 3145980816 is 6180895413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284446 + ... + 295298.

It is an arithmetic number, because the mean of its divisors is an integer number (62584164).

Almost surely, 2^3145980816 is an apocalyptic number.

3145980816 is a gapful number since it is divisible by the number (36) 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 3145980816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006733120).

3145980816 is an abundant number, since it is smaller than the sum of its proper divisors (6867485424).

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

3145980816 is a wasteful number, since it uses less digits than its factorization.

3145980816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3145980816 is about 56089.0436359901. The cubic root of 3145980816 is about 1465.2734820855.

The spelling of 3145980816 in words is "three billion, one hundred forty-five million, nine hundred eighty thousand, eight hundred sixteen".