13842738 has 96 divisors (see below), whose sum is σ = 38403456. Its totient is φ = 3639168.

The previous prime is 13842737. The next prime is 13842739. The reversal of 13842738 is 83724831.

13842738 is a `hidden beast` number, since 1 + 384 + 273 + 8 = 666.

13842738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13842737) and next prime (13842739).

It is not an unprimeable number, because it can be changed into a prime (13842737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44070 + ... + 44382.

It is an arithmetic number, because the mean of its divisors is an integer number (400036).

Almost surely, 2^13842738 is an apocalyptic number.

13842738 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 13842738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201728).

13842738 is an abundant number, since it is smaller than the sum of its proper divisors (24560718).

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

13842738 is a wasteful number, since it uses less digits than its factorization.

13842738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13842738 is about 3720.5830188292. The cubic root of 13842738 is about 240.1083885423.

The spelling of 13842738 in words is "thirteen million, eight hundred forty-two thousand, seven hundred thirty-eight".