1338879960 has 192 divisors, whose sum is σ = 4773600000. Its totient is φ = 322755840.

The previous prime is 1338879923. The next prime is 1338880001. The reversal of 1338879960 is 699788331.

It is a junction number, because it is equal to n+sod(n) for n = 1338879897 and 1338879906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787191 + ... + 788889.

It is an arithmetic number, because the mean of its divisors is an integer number (24862500).

Almost surely, 2^1338879960 is an apocalyptic number.

1338879960 is a gapful number since it is divisible by the number (10) 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 1338879960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386800000).

1338879960 is an abundant number, since it is smaller than the sum of its proper divisors (3434720040).

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

1338879960 is a wasteful number, since it uses less digits than its factorization.

1338879960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1338879960 is about 36590.7086567068. The cubic root of 1338879960 is about 1102.1665179863.

The spelling of 1338879960 in words is "one billion, three hundred thirty-eight million, eight hundred seventy-nine thousand, nine hundred sixty".