3215216209920 has 832 divisors, whose sum is σ = 12503686003200. Its totient is φ = 694623928320.

The previous prime is 3215216209903. The next prime is 3215216209927. The reversal of 3215216209920 is 299026125123.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215216209927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254785371 + ... + 254797989.

Almost surely, 2^{3215216209920} is an apocalyptic number.

3215216209920 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 3215216209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251843001600).

3215216209920 is an abundant number, since it is smaller than the sum of its proper divisors (9288469793280).

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

3215216209920 is a wasteful number, since it uses less digits than its factorization.

3215216209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 3215216209920 in words is "three trillion, two hundred fifteen billion, two hundred sixteen million, two hundred nine thousand, nine hundred twenty".