3083138000 has 80 divisors (see below), whose sum is σ = 7539227280. Its totient is φ = 1219328000.

The previous prime is 3083137957. The next prime is 3083138021. The reversal of 3083138000 is 8313803.

It can be written as a sum of positive squares in 8 ways, for example, as 1851408784 + 1231729216 = 43028^2 + 35096^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169340 + ... + 186660.

It is an arithmetic number, because the mean of its divisors is an integer number (94240341).

Almost surely, 2^3083138000 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 3083138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769613640).

3083138000 is an abundant number, since it is smaller than the sum of its proper divisors (4456089280).

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

3083138000 is a wasteful number, since it uses less digits than its factorization.

3083138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3083138000 is about 55526.0119223414. The cubic root of 3083138000 is about 1455.4512206506.

The spelling of 3083138000 in words is "three billion, eighty-three million, one hundred thirty-eight thousand".