1338884880 has 80 divisors (see below), whose sum is σ = 4159852800. Its totient is φ = 356235264.

The previous prime is 1338884867. The next prime is 1338884903. The reversal of 1338884880 is 884888331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1338884880² = 3585225443785228800, which contains 22 as substring.

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, 105096 + ... + 117144.

It is an arithmetic number, because the mean of its divisors is an integer number (51998160).

Almost surely, 2^1338884880 is an apocalyptic number.

1338884880 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 1338884880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079926400).

1338884880 is an abundant number, since it is smaller than the sum of its proper divisors (2820967920).

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

1338884880 is a wasteful number, since it uses less digits than its factorization.

1338884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 1338884880 is about 36590.7758868270. The cubic root of 1338884880 is about 1102.1678680333.

The spelling of 1338884880 in words is "one billion, three hundred thirty-eight million, eight hundred eighty-four thousand, eight hundred eighty".