3328110624721 has 9 divisors (see below), whose sum is σ = 3333151519131. Its totient is φ = 3323077350672.

The previous prime is 3328110624703. The next prime is 3328110624803. The reversal of 3328110624721 is 1274260118233.

The square root of 3328110624721 is 1824311.

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., 946446851025 + 2381663773696 = 972855^2 + 1543264^2 .

It is not a de Polignac number, because 3328110624721 - 2⁷ = 3328110624593 is a prime.

It is a super-3 number, since 3×3328110624721³ (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 (3328110624521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2001268336 + ... + 2001269998.

Almost surely, 2^{3328110624721} is an apocalyptic number.

3328110624721 is the 1824311-st square number.

3328110624721 is the 912156-th centered octagonal number.

It is an amenable number.

3328110624721 is a deficient number, since it is larger than the sum of its proper divisors (5040894410).

3328110624721 is an frugal number, since it uses more digits than its factorization.

3328110624721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 3328110624721 in words is "three trillion, three hundred twenty-eight billion, one hundred ten million, six hundred twenty-four thousand, seven hundred twenty-one".