1338130872 has 192 divisors, whose sum is σ = 4075868160. Its totient is φ = 393811200.

The previous prime is 1338130813. The next prime is 1338130873. The reversal of 1338130872 is 2780318331.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338130873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3104497 + ... + 3104927.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^1338130872 is an apocalyptic number.

1338130872 is a gapful number since it is divisible by the number (12) 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 1338130872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

1338130872 is an abundant number, since it is smaller than the sum of its proper divisors (2737737288).

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

1338130872 is a wasteful number, since it uses less digits than its factorization.

1338130872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1338130872 is about 36580.4711834060. The cubic root of 1338130872 is about 1101.9609297931.

It can be divided in two parts, 13381 and 30872, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 1338130872 in words is "one billion, three hundred thirty-eight million, one hundred thirty thousand, eight hundred seventy-two".