3361965907520 has 448 divisors, whose sum is σ = 9533453932800. Its totient is φ = 1115510538240.

The previous prime is 3361965907471. The next prime is 3361965907541. The reversal of 3361965907520 is 257095691633.

It is a happy number.

It is a super-2 number, since 2×3361965907520² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886358744 + ... + 886362536.

It is an arithmetic number, because the mean of its divisors is an integer number (21280031100).

Almost surely, 2^{3361965907520} 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 3361965907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766726966400).

3361965907520 is an abundant number, since it is smaller than the sum of its proper divisors (6171488025280).

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

3361965907520 is a wasteful number, since it uses less digits than its factorization.

3361965907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 56.

The spelling of 3361965907520 in words is "three trillion, three hundred sixty-one billion, nine hundred sixty-five million, nine hundred seven thousand, five hundred twenty".