3338922961984 has 21 divisors (see below), whose sum is σ = 6625704260757. Its totient is φ = 1669454171904.

The previous prime is 3338922961981. The next prime is 3338922961991. The reversal of 3338922961984 is 4891692298333.

The square root of 3338922961984 is 1827272.

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

It can be written as a sum of positive squares in only one way, i.e., 3018114001984 + 320808960000 = 1737272^2 + 566400^2 .

It is a super-3 number, since 3×3338922961984³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3338922961981) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14503972 + ... + 14732380.

Almost surely, 2^{3338922961984} is an apocalyptic number.

3338922961984 is the 1827272-nd square number.

It is an amenable number.

3338922961984 is a deficient number, since it is larger than the sum of its proper divisors (3286781298773).

3338922961984 is an frugal number, since it uses more digits than its factorization.

3338922961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456830 (or 228411 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 67.

The spelling of 3338922961984 in words is "three trillion, three hundred thirty-eight billion, nine hundred twenty-two million, nine hundred sixty-one thousand, nine hundred eighty-four".