3318902243328 has 960 divisors, whose sum is σ = 11093561966592. Its totient is φ = 861874421760.

The previous prime is 3318902243311. The next prime is 3318902243333. The reversal of 3318902243328 is 8233422098133.

It is a super-2 number, since 2×3318902243328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20361363375 + ... + 20361363537.

Almost surely, 2^{3318902243328} 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 3318902243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546780983296).

3318902243328 is an abundant number, since it is smaller than the sum of its proper divisors (7774659723264).

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

3318902243328 is a wasteful number, since it uses less digits than its factorization.

3318902243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 3318902243328 in words is "three trillion, three hundred eighteen billion, nine hundred two million, two hundred forty-three thousand, three hundred twenty-eight".