3186146000 has 80 divisors (see below), whose sum is σ = 7780872528. Its totient is φ = 1261760000.

The previous prime is 3186145999. The next prime is 3186146003. The reversal of 3186146000 is 6416813.

It can be written as a sum of positive squares in 8 ways, for example, as 225480256 + 2960665744 = 15016^2 + 54412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3186146003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194114 + ... + 209886.

Almost surely, 2^3186146000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3186146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890436264).

3186146000 is an abundant number, since it is smaller than the sum of its proper divisors (4594726528).

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

3186146000 is a wasteful number, since it uses less digits than its factorization.

3186146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897 (or 15881 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3186146000 is about 56445.9564539392. The cubic root of 3186146000 is about 1471.4829159107.

The spelling of 3186146000 in words is "three billion, one hundred eighty-six million, one hundred forty-six thousand".