3138237312 has 128 divisors (see below), whose sum is σ = 9615091200. Its totient is φ = 888330240.

The previous prime is 3138237301. The next prime is 3138237313. The reversal of 3138237312 is 2137328313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138237313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287637 + ... + 298347.

It is an arithmetic number, because the mean of its divisors is an integer number (75117900).

Almost surely, 2^3138237312 is an apocalyptic number.

3138237312 is a gapful number since it is divisible by the number (32) 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 3138237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807545600).

3138237312 is an abundant number, since it is smaller than the sum of its proper divisors (6476853888).

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

3138237312 is a wasteful number, since it uses less digits than its factorization.

3138237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844 (or 10832 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 3138237312 is about 56019.9724384081. The cubic root of 3138237312 is about 1464.0702883629.

The spelling of 3138237312 in words is "three billion, one hundred thirty-eight million, two hundred thirty-seven thousand, three hundred twelve".