3365710920 has 1024 divisors, whose sum is σ = 14708736000. Its totient is φ = 671846400.

The previous prime is 3365710871. The next prime is 3365710927. The reversal of 3365710920 is 290175633.

It is a super-2 number, since 2×3365710920² = 22656019994014492800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3365710927) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 90965142 + ... + 90965178.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^3365710920 is an apocalyptic number.

3365710920 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 3365710920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368000).

3365710920 is an abundant number, since it is smaller than the sum of its proper divisors (11343025080).

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

3365710920 is a wasteful number, since it uses less digits than its factorization.

3365710920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3365710920 is about 58014.7474354582. The cubic root of 3365710920 is about 1498.6225755217.

The spelling of 3365710920 in words is "three billion, three hundred sixty-five million, seven hundred ten thousand, nine hundred twenty".