13838335830 has 192 divisors, whose sum is σ = 40727771136. Its totient is φ = 3229632000.

The previous prime is 13838335829. The next prime is 13838335831. The reversal of 13838335830 is 3853383831.

It is a happy number.

13838335830 is a `hidden beast` number, since 1 + 3 + 8 + 38 + 33 + 583 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13838335829) and next prime (13838335831).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838335831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6474522 + ... + 6476658.

It is an arithmetic number, because the mean of its divisors is an integer number (212123808).

Almost surely, 2^13838335830 is an apocalyptic number.

13838335830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13838335830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363885568).

13838335830 is an abundant number, since it is smaller than the sum of its proper divisors (26889435306).

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

13838335830 is a wasteful number, since it uses less digits than its factorization.

13838335830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13838335830 in words is "thirteen billion, eight hundred thirty-eight million, three hundred thirty-five thousand, eight hundred thirty".