3318838645824 has 189 divisors, whose sum is σ = 10302663090213. Its totient is φ = 1021006232064.

The previous prime is 3318838645813. The next prime is 3318838645841. The reversal of 3318838645824 is 4285468388133.

The square root of 3318838645824 is 1821768.

It is a perfect power (a square), and thus also a powerful number.

3318838645824 is a `hidden beast` number, since 3 + 3 + 1 + 8 + 83 + 86 + 458 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 490952462400 + 2827886183424 = 700680^2 + 1681632^2 .

It is a super-3 number, since 3×3318838645824³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 568388697 + ... + 568394535.

Almost surely, 2^{3318838645824} is an apocalyptic number.

3318838645824 is the 1821768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3318838645824

3318838645824 is an abundant number, since it is smaller than the sum of its proper divisors (6983824444389).

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

3318838645824 is an frugal number, since it uses more digits than its factorization.

3318838645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722 (or 5857 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 3318838645824 in words is "three trillion, three hundred eighteen billion, eight hundred thirty-eight million, six hundred forty-five thousand, eight hundred twenty-four".