3138936000 has 224 divisors, whose sum is σ = 10701649920. Its totient is φ = 809856000.

The previous prime is 3138935999. The next prime is 3138936007. The reversal of 3138936000 is 6398313.

It is not an unprimeable number, because it can be changed into a prime (3138936007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741891 + ... + 746109.

Almost surely, 2^3138936000 is an apocalyptic number.

3138936000 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 3138936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350824960).

3138936000 is an abundant number, since it is smaller than the sum of its proper divisors (7562713920).

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

3138936000 is a wasteful number, since it uses less digits than its factorization.

3138936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3138936000 is about 56026.2081529707. The cubic root of 3138936000 is about 1464.1789324132.

The spelling of 3138936000 in words is "three billion, one hundred thirty-eight million, nine hundred thirty-six thousand".