3216315356400 has 240 divisors, whose sum is σ = 11029011062400. Its totient is φ = 798770580480.

The previous prime is 3216315356389. The next prime is 3216315356437. The reversal of 3216315356400 is 46535136123.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149722 + ... + 2540678.

It is an arithmetic number, because the mean of its divisors is an integer number (45954212760).

Almost surely, 2^{3216315356400} is an apocalyptic number.

3216315356400 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 3216315356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514505531200).

3216315356400 is an abundant number, since it is smaller than the sum of its proper divisors (7812695706000).

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

3216315356400 is a wasteful number, since it uses less digits than its factorization.

3216315356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391056 (or 2391045 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 3216315356400 in words is "three trillion, two hundred sixteen billion, three hundred fifteen million, three hundred fifty-six thousand, four hundred".