3138881120 has 72 divisors (see below), whose sum is σ = 7680464064. Its totient is φ = 1212205568.

The previous prime is 3138881089. The next prime is 3138881129. The reversal of 3138881120 is 211888313.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138881129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122897 + ... + 146223.

It is an arithmetic number, because the mean of its divisors is an integer number (106673112).

Almost surely, 2^3138881120 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 3138881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840232032).

3138881120 is an abundant number, since it is smaller than the sum of its proper divisors (4541582944).

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

3138881120 is a wasteful number, since it uses less digits than its factorization.

3138881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23400 (or 23363 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 3138881120 is about 56025.7183800440. The cubic root of 3138881120 is about 1464.1703993086.

The spelling of 3138881120 in words is "three billion, one hundred thirty-eight million, eight hundred eighty-one thousand, one hundred twenty".