3365644542240 has 192 divisors, whose sum is σ = 11227613088384. Its totient is φ = 844545343488.

The previous prime is 3365644542199. The next prime is 3365644542311. The reversal of 3365644542240 is 422454465633.

It is a super-2 number, since 2×3365644542240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3365644542240.

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 31 ways as a sum of consecutive naturals, for example, 44654667 + ... + 44729973.

It is an arithmetic number, because the mean of its divisors is an integer number (58477151502).

Almost surely, 2^{3365644542240} is an apocalyptic number.

3365644542240 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 3365644542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613806544192).

3365644542240 is an abundant number, since it is smaller than the sum of its proper divisors (7861968546144).

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

3365644542240 is a wasteful number, since it uses less digits than its factorization.

3365644542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80819 (or 80811 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 3365644542240 in words is "three trillion, three hundred sixty-five billion, six hundred forty-four million, five hundred forty-two thousand, two hundred forty".