1338842088 has 64 divisors (see below), whose sum is σ = 3735384000. Its totient is φ = 444315456.

The previous prime is 1338842083. The next prime is 1338842107. The reversal of 1338842088 is 8802488331.

It is not an unprimeable number, because it can be changed into a prime (1338842081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35931 + ... + 62997.

It is an arithmetic number, because the mean of its divisors is an integer number (58365375).

Almost surely, 2^1338842088 is an apocalyptic number.

1338842088 is a gapful number since it is divisible by the number (18) 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 1338842088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867692000).

1338842088 is an abundant number, since it is smaller than the sum of its proper divisors (2396541912).

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

1338842088 is a wasteful number, since it uses less digits than its factorization.

1338842088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27311 (or 27301 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1338842088 is about 36590.1911446224. The cubic root of 1338842088 is about 1102.1561258064.

The spelling of 1338842088 in words is "one billion, three hundred thirty-eight million, eight hundred forty-two thousand, eighty-eight".