3365168042880 has 1024 divisors, whose sum is σ = 14515621632000. Its totient is φ = 728657731584.

The previous prime is 3365168042869. The next prime is 3365168042893. The reversal of 3365168042880 is 882408615633.

3365168042880 is a `hidden beast` number, since 3 + 3 + 6 + 516 + 8 + 0 + 42 + 8 + 80 = 666.

It is a super-2 number, since 2×3365168042880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186148402 + ... + 186166478.

It is an arithmetic number, because the mean of its divisors is an integer number (14175411750).

Almost surely, 2^{3365168042880} is an apocalyptic number.

3365168042880 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 3365168042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257810816000).

3365168042880 is an abundant number, since it is smaller than the sum of its proper divisors (11150453589120).

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

3365168042880 is an equidigital number, since it uses as much as digits as its factorization.

3365168042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18143 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3365168042880 in words is "three trillion, three hundred sixty-five billion, one hundred sixty-eight million, forty-two thousand, eight hundred eighty".