3145356000 has 288 divisors, whose sum is σ = 11440499616. Its totient is φ = 817920000.

The previous prime is 3145355957. The next prime is 3145356001. The reversal of 3145356000 is 6535413.

3145356000 is a `hidden beast` number, since 3 + 1 + 4 + 53 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145356001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1474935 + ... + 1477065.

It is an arithmetic number, because the mean of its divisors is an integer number (39723957).

Almost surely, 2^3145356000 is an apocalyptic number.

3145356000 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 3145356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720249808).

3145356000 is an abundant number, since it is smaller than the sum of its proper divisors (8295143616).

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

3145356000 is a wasteful number, since it uses less digits than its factorization.

3145356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3145356000 is about 56083.4735015584. The cubic root of 3145356000 is about 1465.1764707996.

The spelling of 3145356000 in words is "three billion, one hundred forty-five million, three hundred fifty-six thousand".