3365608320 has 768 divisors, whose sum is σ = 13633401600. Its totient is φ = 788299776.

The previous prime is 3365608313. The next prime is 3365608361. The reversal of 3365608320 is 238065633.

It is a happy number.

It is a super-2 number, since 2×3365608320² = 22654638727306444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50232927 + ... + 50232993.

It is an arithmetic number, because the mean of its divisors is an integer number (17751825).

Almost surely, 2^3365608320 is an apocalyptic number.

3365608320 is a gapful number since it is divisible by the number (30) 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 3365608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816700800).

3365608320 is an abundant number, since it is smaller than the sum of its proper divisors (10267793280).

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

3365608320 is a wasteful number, since it uses less digits than its factorization.

3365608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3365608320 is about 58013.8631707974. The cubic root of 3365608320 is about 1498.6073474127.

The spelling of 3365608320 in words is "three billion, three hundred sixty-five million, six hundred eight thousand, three hundred twenty".