32382084096 has 220 divisors, whose sum is σ = 98159348848. Its totient is φ = 10631098368.

The previous prime is 32382084079. The next prime is 32382084103. The reversal of 32382084096 is 69048028323.

32382084096 is a `hidden beast` number, since 3 + 2 + 38 + 208 + 409 + 6 = 666.

It is a super-2 number, since 2×32382084096² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5554335 + ... + 5560161.

Almost surely, 2^32382084096 is an apocalyptic number.

32382084096 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 32382084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49079674424).

32382084096 is an abundant number, since it is smaller than the sum of its proper divisors (65777264752).

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

32382084096 is an equidigital number, since it uses as much as digits as its factorization.

32382084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32382084096 in words is "thirty-two billion, three hundred eighty-two million, eighty-four thousand, ninety-six".