1338293880 has 768 divisors, whose sum is σ = 6008256000. Its totient is φ = 263450880.

The previous prime is 1338293867. The next prime is 1338293903. The reversal of 1338293880 is 883928331.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70436511 + ... + 70436529.

It is an arithmetic number, because the mean of its divisors is an integer number (7823250).

Almost surely, 2^1338293880 is an apocalyptic number.

1338293880 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 1338293880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004128000).

1338293880 is an abundant number, since it is smaller than the sum of its proper divisors (4669962120).

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

1338293880 is a wasteful number, since it uses less digits than its factorization.

1338293880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1338293880 is about 36582.6991896443. The cubic root of 1338293880 is about 1102.0056740847.

The spelling of 1338293880 in words is "one billion, three hundred thirty-eight million, two hundred ninety-three thousand, eight hundred eighty".