3284722056000 has 1344 divisors, whose sum is σ = 14209681195008. Its totient is φ = 660441600000.

The previous prime is 3284722055987. The next prime is 3284722056001. The reversal of 3284722056000 is 6502274823.

3284722056000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 3284722056000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284722056001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401011905 + ... + 401020095.

Almost surely, 2^{3284722056000} is an apocalyptic number.

3284722056000 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 3284722056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104840597504).

3284722056000 is an abundant number, since it is smaller than the sum of its proper divisors (10924959139008).

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

3284722056000 is a wasteful number, since it uses less digits than its factorization.

3284722056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 3284722056000 in words is "three trillion, two hundred eighty-four billion, seven hundred twenty-two million, fifty-six thousand".