32890086936 has 288 divisors, whose sum is σ = 107837730000. Its totient is φ = 9364045824.

The previous prime is 32890086877. The next prime is 32890086937. The reversal of 32890086936 is 63968009823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32890086937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42769560 + ... + 42770328.

Almost surely, 2^32890086936 is an apocalyptic number.

32890086936 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 32890086936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53918865000).

32890086936 is an abundant number, since it is smaller than the sum of its proper divisors (74947643064).

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

32890086936 is a wasteful number, since it uses less digits than its factorization.

32890086936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 32890086936 in words is "thirty-two billion, eight hundred ninety million, eighty-six thousand, nine hundred thirty-six".