3365231712768 has 240 divisors, whose sum is σ = 10085519860416. Its totient is φ = 1120238346240.

The previous prime is 3365231712767. The next prime is 3365231712803. The reversal of 3365231712768 is 8672171325633.

3365231712768 is a `hidden beast` number, since 3 + 3 + 6 + 52 + 317 + 1 + 276 + 8 = 666.

It is a super-3 number, since 3×3365231712768³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3365231712763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94662805 + ... + 94698347.

Almost surely, 2^{3365231712768} 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 3365231712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042759930208).

3365231712768 is an abundant number, since it is smaller than the sum of its proper divisors (6720288147648).

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

3365231712768 is an frugal number, since it uses more digits than its factorization.

3365231712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36337 (or 36309 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 3365231712768 in words is "three trillion, three hundred sixty-five billion, two hundred thirty-one million, seven hundred twelve thousand, seven hundred sixty-eight".