1338186720 has 192 divisors, whose sum is σ = 4778887680. Its totient is φ = 312035328.

The previous prime is 1338186691. The next prime is 1338186721. The reversal of 1338186720 is 276818331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338186721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112917 + ... + 124203.

It is an arithmetic number, because the mean of its divisors is an integer number (24890040).

Almost surely, 2^1338186720 is an apocalyptic number.

1338186720 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 1338186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389443840).

1338186720 is an abundant number, since it is smaller than the sum of its proper divisors (3440700960).

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

1338186720 is a wasteful number, since it uses less digits than its factorization.

1338186720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11329 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1338186720 is about 36581.2345335693. The cubic root of 1338186720 is about 1101.9762599972.

The spelling of 1338186720 in words is "one billion, three hundred thirty-eight million, one hundred eighty-six thousand, seven hundred twenty".