3145818000 has 320 divisors, whose sum is σ = 11283277824. Its totient is φ = 748800000.

The previous prime is 3145817993. The next prime is 3145818019. The reversal of 3145818000 is 8185413.

3145818000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2417350 + ... + 2418650.

Almost surely, 2^3145818000 is an apocalyptic number.

3145818000 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 3145818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641638912).

3145818000 is an abundant number, since it is smaller than the sum of its proper divisors (8137459824).

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

3145818000 is a wasteful number, since it uses less digits than its factorization.

3145818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 3145818000 is about 56087.5922107555. The cubic root of 3145818000 is about 1465.2482038975.

The spelling of 3145818000 in words is "three billion, one hundred forty-five million, eight hundred eighteen thousand".