32338083840 has 192 divisors, whose sum is σ = 103884515280. Its totient is φ = 8589934592.

The previous prime is 32338083793. The next prime is 32338083851. The reversal of 32338083840 is 4838083323.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 32338083792 and 32338083801.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 32338083840 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125828992 + ... + 125829248.

Almost surely, 2^32338083840 is an apocalyptic number.

32338083840 is a gapful number since it is divisible by the number (30) 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 32338083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51942257640).

32338083840 is an abundant number, since it is smaller than the sum of its proper divisors (71546431440).

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

32338083840 is an frugal number, since it uses more digits than its factorization.

32338083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 32338083840 in words is "thirty-two billion, three hundred thirty-eight million, eighty-three thousand, eight hundred forty".