3221713440000 has 1980 divisors, whose sum is σ = 13573895862912. Its totient is φ = 755827200000.

The previous prime is 3221713439957. The next prime is 3221713440017. The reversal of 3221713440000 is 443171223.

It is a happy number.

3221713440000 is a `hidden beast` number, since 3 + 2 + 217 + 1 + 3 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 219 ways as a sum of consecutive naturals, for example, 103926239985 + ... + 103926240015.

Almost surely, 2^{3221713440000} is an apocalyptic number.

3221713440000 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 3221713440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786947931456).

3221713440000 is an abundant number, since it is smaller than the sum of its proper divisors (10352182422912).

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

3221713440000 is an frugal number, since it uses more digits than its factorization.

3221713440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 3221713440000 in words is "three trillion, two hundred twenty-one billion, seven hundred thirteen million, four hundred forty thousand".