32282385408 has 990 divisors, whose sum is σ = 124013908656. Its totient is φ = 8332886016.

The previous prime is 32282385391. The next prime is 32282385427. The reversal of 32282385408 is 80458328223.

It is a happy number.

32282385408 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 238 + 5 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 686859241 + ... + 686859287.

Almost surely, 2^32282385408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32282385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62006954328).

32282385408 is an abundant number, since it is smaller than the sum of its proper divisors (91731523248).

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

32282385408 is a wasteful number, since it uses less digits than its factorization.

32282385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 32282385408 in words is "thirty-two billion, two hundred eighty-two million, three hundred eighty-five thousand, four hundred eight".