3365872704 has 336 divisors, whose sum is σ = 10983772800. Its totient is φ = 1017225216.

The previous prime is 3365872703. The next prime is 3365872723. The reversal of 3365872704 is 4072785633.

It is a super-2 number, since 2×3365872704² = 22658198119064543232, 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 3365872704.

It is not an unprimeable number, because it can be changed into a prime (3365872703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7666917 + ... + 7667355.

It is an arithmetic number, because the mean of its divisors is an integer number (32689800).

Almost surely, 2^3365872704 is an apocalyptic number.

3365872704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491886400).

3365872704 is an abundant number, since it is smaller than the sum of its proper divisors (7617900096).

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

3365872704 is a wasteful number, since it uses less digits than its factorization.

3365872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3365872704 is about 58016.1417538257. The cubic root of 3365872704 is about 1498.6465872165.

The spelling of 3365872704 in words is "three billion, three hundred sixty-five million, eight hundred seventy-two thousand, seven hundred four".