32085312000 has 320 divisors, whose sum is σ = 121920125184. Its totient is φ = 7333478400.

The previous prime is 32085311893. The next prime is 32085312031. The reversal of 32085312000 is 21358023.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×32085312000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332064 + ... + 1355936.

Almost surely, 2^32085312000 is an apocalyptic number.

32085312000 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 32085312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960062592).

32085312000 is an abundant number, since it is smaller than the sum of its proper divisors (89834813184).

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

32085312000 is an equidigital number, since it uses as much as digits as its factorization.

32085312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 32085312000 in words is "thirty-two billion, eighty-five million, three hundred twelve thousand".