13429638 has 56 divisors (see below), whose sum is σ = 30901296. Its totient is φ = 4374000.

The previous prime is 13429627. The next prime is 13429651. The reversal of 13429638 is 83692431.

13429638 is a `hidden beast` number, since 13 + 4 + 2 + 9 + 638 = 666.

It is a super-2 number, since 2×13429638² = 360710353622088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 88863 + ... + 89013.

Almost surely, 2^13429638 is an apocalyptic number.

13429638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13429638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15450648).

13429638 is an abundant number, since it is smaller than the sum of its proper divisors (17471658).

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

13429638 is an equidigital number, since it uses as much as digits as its factorization.

13429638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

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

The square root of 13429638 is about 3664.6470498535. The cubic root of 13429638 is about 237.6957602985.

The spelling of 13429638 in words is "thirteen million, four hundred twenty-nine thousand, six hundred thirty-eight".