3221055540000 has 360 divisors, whose sum is σ = 11451781953612. Its totient is φ = 858528000000.

The previous prime is 3221055539971. The next prime is 3221055540019. The reversal of 3221055540000 is 455501223.

It is a happy number.

3221055540000 is a `hidden beast` number, since 3 + 2 + 2 + 105 + 554 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 486305390736 + 2734750149264 = 697356^2 + 1653708^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 585537250 + ... + 585542750.

Almost surely, 2^{3221055540000} is an apocalyptic number.

3221055540000 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 3221055540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725890976806).

3221055540000 is an abundant number, since it is smaller than the sum of its proper divisors (8230726413612).

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

3221055540000 is a wasteful number, since it uses less digits than its factorization.

3221055540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 3221055540000 in words is "three trillion, two hundred twenty-one billion, fifty-five million, five hundred forty thousand".