3145415000 has 320 divisors, whose sum is σ = 9404989440. Its totient is φ = 959040000.

The previous prime is 3145414973. The next prime is 3145415051. The reversal of 3145415000 is 5145413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14104889 + ... + 14105111.

It is an arithmetic number, because the mean of its divisors is an integer number (29390592).

Almost surely, 2^3145415000 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 3145415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702494720).

3145415000 is an abundant number, since it is smaller than the sum of its proper divisors (6259574440).

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

3145415000 is a wasteful number, since it uses less digits than its factorization.

3145415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 3145415000 is about 56083.9995007489. Note that the first 3 decimals coincide. The cubic root of 3145415000 is about 1465.1856319111.

The spelling of 3145415000 in words is "three billion, one hundred forty-five million, four hundred fifteen thousand".