32214034944 has 480 divisors, whose sum is σ = 121184743680. Its totient is φ = 7994474496.

The previous prime is 32214034907. The next prime is 32214034967. The reversal of 32214034944 is 44943041223.

32214034944 is a `hidden beast` number, since 3 + 22 + 140 + 3 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32214034899 and 32214034908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7126317 + ... + 7130835.

It is an arithmetic number, because the mean of its divisors is an integer number (252468216).

Almost surely, 2^32214034944 is an apocalyptic number.

32214034944 is a gapful number since it is divisible by the number (34) 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 32214034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60592371840).

32214034944 is an abundant number, since it is smaller than the sum of its proper divisors (88970708736).

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

32214034944 is a wasteful number, since it uses less digits than its factorization.

32214034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 32214034944 in words is "thirty-two billion, two hundred fourteen million, thirty-four thousand, nine hundred forty-four".