3338728704 has 216 divisors, whose sum is σ = 10072913760. Its totient is φ = 1062211584.

The previous prime is 3338728703. The next prime is 3338728717. The reversal of 3338728704 is 4078278333.

It is a super-2 number, since 2×3338728704² = 22294218717827039232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3338728704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338728703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7149079 + ... + 7149545.

It is an arithmetic number, because the mean of its divisors is an integer number (46633860).

Almost surely, 2^3338728704 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 3338728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036456880).

3338728704 is an abundant number, since it is smaller than the sum of its proper divisors (6734185056).

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

3338728704 is a wasteful number, since it uses less digits than its factorization.

3338728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3338728704 is about 57781.7333073351. The cubic root of 3338728704 is about 1494.6071090542.

The spelling of 3338728704 in words is "three billion, three hundred thirty-eight million, seven hundred twenty-eight thousand, seven hundred four".