3145988160 has 420 divisors, whose sum is σ = 13023163692. Its totient is φ = 718792704.

The previous prime is 3145988141. The next prime is 3145988177. The reversal of 3145988160 is 618895413.

3145988160 is a `hidden beast` number, since 31 + 459 + 8 + 8 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1353651264 + 1792336896 = 36792^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 1268842 + ... + 1271318.

Almost surely, 2^3145988160 is an apocalyptic number.

3145988160 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 3145988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511581846).

3145988160 is an abundant number, since it is smaller than the sum of its proper divisors (9877175532).

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

3145988160 is a wasteful number, since it uses less digits than its factorization.

3145988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2494 counting only the distinct ones).

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

The square root of 3145988160 is about 56089.1091032831. The cubic root of 3145988160 is about 1465.2746222662.

The spelling of 3145988160 in words is "three billion, one hundred forty-five million, nine hundred eighty-eight thousand, one hundred sixty".