1338094080 has 320 divisors, whose sum is σ = 4831833600. Its totient is φ = 355332096.

The previous prime is 1338094073. The next prime is 1338094091. The reversal of 1338094080 is 804908331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598601 + ... + 5598839.

It is an arithmetic number, because the mean of its divisors is an integer number (15099480).

Almost surely, 2^1338094080 is an apocalyptic number.

1338094080 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 1338094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415916800).

1338094080 is an abundant number, since it is smaller than the sum of its proper divisors (3493739520).

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

1338094080 is an frugal number, since it uses more digits than its factorization.

1338094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1338094080 is about 36579.9682886686. The cubic root of 1338094080 is about 1101.9508302035.

The spelling of 1338094080 in words is "one billion, three hundred thirty-eight million, ninety-four thousand, eighty".