32383878912 has 648 divisors, whose sum is σ = 120229265520. Its totient is φ = 8288501760.

The previous prime is 32383878911. The next prime is 32383878913. The reversal of 32383878912 is 21987838323.

It is an interprime number because it is at equal distance from previous prime (32383878911) and next prime (32383878913).

It is a super-2 number, since 2×32383878912² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32383878911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110525038 + ... + 110525330.

It is an arithmetic number, because the mean of its divisors is an integer number (185538990).

Almost surely, 2^32383878912 is an apocalyptic number.

32383878912 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 32383878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60114632760).

32383878912 is an abundant number, since it is smaller than the sum of its proper divisors (87845386608).

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

32383878912 is a wasteful number, since it uses less digits than its factorization.

32383878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 32383878912 in words is "thirty-two billion, three hundred eighty-three million, eight hundred seventy-eight thousand, nine hundred twelve".