1338129432 has 48 divisors (see below), whose sum is σ = 3837286440. Its totient is φ = 419804928.

The previous prime is 1338129431. The next prime is 1338129439. The reversal of 1338129432 is 2349218331.

1338129432 is a `hidden beast` number, since 1 + 338 + 1 + 294 + 32 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338129431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545398 + ... + 547845.

Almost surely, 2^1338129432 is an apocalyptic number.

1338129432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1338129432 is an abundant number, since it is smaller than the sum of its proper divisors (2499157008).

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

1338129432 is a wasteful number, since it uses less digits than its factorization.

1338129432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093272 (or 1093265 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1338129432 is about 36580.4515007675. The cubic root of 1338129432 is about 1101.9605345094.

The spelling of 1338129432 in words is "one billion, three hundred thirty-eight million, one hundred twenty-nine thousand, four hundred thirty-two".