1338252432 has 80 divisors (see below), whose sum is σ = 3851753472. Its totient is φ = 396895360.

The previous prime is 1338252431. The next prime is 1338252437. The reversal of 1338252432 is 2342528331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1338252393 and 1338252402.

It is not an unprimeable number, because it can be changed into a prime (1338252431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148 + ... + 51779.

Almost surely, 2^1338252432 is an apocalyptic number.

1338252432 is a gapful number since it is divisible by the number (12) 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 1338252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925876736).

1338252432 is an abundant number, since it is smaller than the sum of its proper divisors (2513501040).

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

1338252432 is a wasteful number, since it uses less digits than its factorization.

1338252432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53996 (or 53990 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 1338252432 is about 36582.1326879667. The cubic root of 1338252432 is about 1101.9942973103.

The spelling of 1338252432 in words is "one billion, three hundred thirty-eight million, two hundred fifty-two thousand, four hundred thirty-two".