1338578880 has 112 divisors (see below), whose sum is σ = 4473732480. Its totient is φ = 338162688.

The previous prime is 1338578867. The next prime is 1338578939. The reversal of 1338578880 is 888758331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18454 + ... + 54933.

It is an arithmetic number, because the mean of its divisors is an integer number (39944040).

Almost surely, 2^1338578880 is an apocalyptic number.

1338578880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338578880 is an abundant number, since it is smaller than the sum of its proper divisors (3135153600).

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

1338578880 is a wasteful number, since it uses less digits than its factorization.

1338578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73426 (or 73416 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 1338578880 is about 36586.5942662063. The cubic root of 1338578880 is about 1102.0838954006.

The spelling of 1338578880 in words is "one billion, three hundred thirty-eight million, five hundred seventy-eight thousand, eight hundred eighty".