1338693696 has 224 divisors, whose sum is σ = 4206240000. Its totient is φ = 416047104.

The previous prime is 1338693667. The next prime is 1338693709. The reversal of 1338693696 is 6963968331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 5845710 + ... + 5845938.

Almost surely, 2^1338693696 is an apocalyptic number.

1338693696 is a gapful number since it is divisible by the number (16) 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 1338693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103120000).

1338693696 is an abundant number, since it is smaller than the sum of its proper divisors (2867546304).

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

1338693696 is a wasteful number, since it uses less digits than its factorization.

1338693696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 1338693696 is about 36588.1633318755. The cubic root of 1338693696 is about 1102.1154047495.

The spelling of 1338693696 in words is "one billion, three hundred thirty-eight million, six hundred ninety-three thousand, six hundred ninety-six".