3564229262080 has 72 divisors (see below), whose sum is σ = 8542131679872. Its totient is φ = 1424908713984.

The previous prime is 3564229262063. The next prime is 3564229262117. The reversal of 3564229262080 is 802629224653.

It is a super-3 number, since 3×3564229262080³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1569712 + ... + 3097168.

It is an arithmetic number, because the mean of its divisors is an integer number (118640717776).

Almost surely, 2^{3564229262080} 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 3564229262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271065839936).

3564229262080 is an abundant number, since it is smaller than the sum of its proper divisors (4977902417792).

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

3564229262080 is a wasteful number, since it uses less digits than its factorization.

3564229262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529301 (or 1529287 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 3564229262080 in words is "three trillion, five hundred sixty-four billion, two hundred twenty-nine million, two hundred sixty-two thousand, eighty".