32838685632 has 196 divisors, whose sum is σ = 100090504416. Its totient is φ = 10678625280.

The previous prime is 32838685631. The next prime is 32838685637. The reversal of 32838685632 is 23658683823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32838685631) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1904313 + ... + 1921479.

Almost surely, 2^32838685632 is an apocalyptic number.

32838685632 is a gapful number since it is divisible by the number (32) 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 32838685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50045252208).

32838685632 is an abundant number, since it is smaller than the sum of its proper divisors (67251818784).

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

32838685632 is an equidigital number, since it uses as much as digits as its factorization.

32838685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17238 (or 17213 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 32838685632 in words is "thirty-two billion, eight hundred thirty-eight million, six hundred eighty-five thousand, six hundred thirty-two".