32038022016 has 1120 divisors, whose sum is σ = 131154360120. Its totient is φ = 7681443840.

The previous prime is 32038021999. The next prime is 32038022041. The reversal of 32038022016 is 61022083023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 139 ways as a sum of consecutive naturals, for example, 2464463226 + ... + 2464463238.

Almost surely, 2^32038022016 is an apocalyptic number.

32038022016 is a gapful number since it is divisible by the number (36) 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 32038022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65577180060).

32038022016 is an abundant number, since it is smaller than the sum of its proper divisors (99116338104).

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

32038022016 is an frugal number, since it uses more digits than its factorization.

32038022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 32038022016 in words is "thirty-two billion, thirty-eight million, twenty-two thousand, sixteen".