13832106840 has 192 divisors, whose sum is σ = 45864000000. Its totient is φ = 3614637312.

The previous prime is 13832106833. The next prime is 13832106857. The reversal of 13832106840 is 4860123831.

13832106840 is a `hidden beast` number, since 1 + 383 + 210 + 68 + 4 + 0 = 666.

13832106840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13832106795 and 13832106804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951411 + ... + 3954909.

It is an arithmetic number, because the mean of its divisors is an integer number (238875000).

Almost surely, 2^13832106840 is an apocalyptic number.

13832106840 is a gapful number since it is divisible by the number (10) 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 13832106840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000000).

13832106840 is an abundant number, since it is smaller than the sum of its proper divisors (32031893160).

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

13832106840 is a wasteful number, since it uses less digits than its factorization.

13832106840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13832106840 in words is "thirteen billion, eight hundred thirty-two million, one hundred six thousand, eight hundred forty".