32132380800 has 384 divisors, whose sum is σ = 115571352960. Its totient is φ = 7798947840.

The previous prime is 32132380793. The next prime is 32132380811. The reversal of 32132380800 is 808323123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9108637 + ... + 9112163.

It is an arithmetic number, because the mean of its divisors is an integer number (300967065).

Almost surely, 2^32132380800 is an apocalyptic number.

32132380800 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 32132380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57785676480).

32132380800 is an abundant number, since it is smaller than the sum of its proper divisors (83438972160).

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

32132380800 is a wasteful number, since it uses less digits than its factorization.

32132380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 32132380800 in words is "thirty-two billion, one hundred thirty-two million, three hundred eighty thousand, eight hundred".