3245213216016 has 240 divisors, whose sum is σ = 9378888879360. Its totient is φ = 1047045242880.

The previous prime is 3245213215997. The next prime is 3245213216023. The reversal of 3245213216016 is 6106123125423.

3245213216016 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 21 + 3 + 21 + 601 + 6 = 666.

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

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, 213030736 + ... + 213045968.

It is an arithmetic number, because the mean of its divisors is an integer number (39078703664).

Almost surely, 2^{3245213216016} is an apocalyptic number.

3245213216016 is a gapful number since it is divisible by the number (36) 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 3245213216016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689444439680).

3245213216016 is an abundant number, since it is smaller than the sum of its proper divisors (6133675663344).

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

3245213216016 is a wasteful number, since it uses less digits than its factorization.

3245213216016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3245213216016 in words is "three trillion, two hundred forty-five billion, two hundred thirteen million, two hundred sixteen thousand, sixteen".