1338758088 has 128 divisors (see below), whose sum is σ = 3701376000. Its totient is φ = 401829120.

The previous prime is 1338758081. The next prime is 1338758089. The reversal of 1338758088 is 8808578331.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1338758088.

It is not an unprimeable number, because it can be changed into a prime (1338758081) 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, 885253 + ... + 886763.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 2^1338758088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338758088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

1338758088 is an abundant number, since it is smaller than the sum of its proper divisors (2362617912).

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

1338758088 is a wasteful number, since it uses less digits than its factorization.

1338758088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 1338758088 is about 36589.0432780088. The cubic root of 1338758088 is about 1102.1330752785.

The spelling of 1338758088 in words is "one billion, three hundred thirty-eight million, seven hundred fifty-eight thousand, eighty-eight".