32880384000 has 768 divisors, whose sum is σ = 125106508800. Its totient is φ = 8515584000.

The previous prime is 32880383993. The next prime is 32880384001. The reversal of 32880384000 is 48308823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×32880384000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32880384001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463103965 + ... + 463104035.

It is an arithmetic number, because the mean of its divisors is an integer number (162899100).

Almost surely, 2^32880384000 is an apocalyptic number.

32880384000 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 32880384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62553254400).

32880384000 is an abundant number, since it is smaller than the sum of its proper divisors (92226124800).

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

32880384000 is an equidigital number, since it uses as much as digits as its factorization.

32880384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 32880384000 in words is "thirty-two billion, eight hundred eighty million, three hundred eighty-four thousand".