3201217688032 has 96 divisors (see below), whose sum is σ = 7761374208000. Its totient is φ = 1265668443648.

The previous prime is 3201217688029. The next prime is 3201217688113. The reversal of 3201217688032 is 2308867121023.

It is a self number, because there is not a number n which added to its sum of digits gives 3201217688032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623969 + ... + 5271007.

It is an arithmetic number, because the mean of its divisors is an integer number (80847648000).

Almost surely, 2^{3201217688032} is an apocalyptic number.

3201217688032 is a gapful number since it is divisible by the number (32) 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 3201217688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880687104000).

3201217688032 is an abundant number, since it is smaller than the sum of its proper divisors (4560156519968).

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

3201217688032 is a wasteful number, since it uses less digits than its factorization.

3201217688032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648768 (or 648760 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 3201217688032 in words is "three trillion, two hundred one billion, two hundred seventeen million, six hundred eighty-eight thousand, thirty-two".