3227242292064 has 288 divisors, whose sum is σ = 10591830273024. Its totient is φ = 913019627520.

The previous prime is 3227242292017. The next prime is 3227242292089. The reversal of 3227242292064 is 4602922427223.

3227242292064 is a `hidden beast` number, since 32 + 272 + 4 + 2 + 292 + 0 + 64 = 666.

3227242292064 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122263252 + ... + 122289644.

It is an arithmetic number, because the mean of its divisors is an integer number (36777188448).

Almost surely, 2^{3227242292064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227242292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295915136512).

3227242292064 is an abundant number, since it is smaller than the sum of its proper divisors (7364587980960).

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

3227242292064 is a wasteful number, since it uses less digits than its factorization.

3227242292064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27010 (or 26999 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3227242292064 in words is "three trillion, two hundred twenty-seven billion, two hundred forty-two million, two hundred ninety-two thousand, sixty-four".