3200532480000 has 720 divisors, whose sum is σ = 11858174919360. Its totient is φ = 852885504000.

The previous prime is 3200532479971. The next prime is 3200532480053. The reversal of 3200532480000 is 842350023.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2211839277 + ... + 2211840723.

It is an arithmetic number, because the mean of its divisors is an integer number (16469687388).

Almost surely, 2^{3200532480000} is an apocalyptic number.

3200532480000 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 3200532480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929087459680).

3200532480000 is an abundant number, since it is smaller than the sum of its proper divisors (8657642439360).

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

3200532480000 is an frugal number, since it uses more digits than its factorization.

3200532480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 3200532480000 in words is "three trillion, two hundred billion, five hundred thirty-two million, four hundred eighty thousand".