3355972572288 has 1024 divisors, whose sum is σ = 11015294976000. Its totient is φ = 885620736000.

The previous prime is 3355972572283. The next prime is 3355972572307. The reversal of 3355972572288 is 8822752795533.

It is a super-2 number, since 2×3355972572288² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3355972572283) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 37707556948 + ... + 37707557036.

It is an arithmetic number, because the mean of its divisors is an integer number (10757124000).

Almost surely, 2^{3355972572288} 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 3355972572288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507647488000).

3355972572288 is an abundant number, since it is smaller than the sum of its proper divisors (7659322403712).

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

3355972572288 is a wasteful number, since it uses less digits than its factorization.

3355972572288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 66.

The spelling of 3355972572288 in words is "three trillion, three hundred fifty-five billion, nine hundred seventy-two million, five hundred seventy-two thousand, two hundred eighty-eight".