3365681975040 has 1152 divisors, whose sum is σ = 13624036392960. Its totient is φ = 687852748800.

The previous prime is 3365681974969. The next prime is 3365681975057. The reversal of 3365681975040 is 405791865633.

It is a super-2 number, since 2×3365681975040² (a number of 26 digits) contains 22 as substring.

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, 6854749195 + ... + 6854749685.

It is an arithmetic number, because the mean of its divisors is an integer number (11826420480).

Almost surely, 2^{3365681975040} is an apocalyptic number.

3365681975040 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 3365681975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812018196480).

3365681975040 is an abundant number, since it is smaller than the sum of its proper divisors (10258354417920).

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

3365681975040 is a wasteful number, since it uses less digits than its factorization.

3365681975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 3365681975040 in words is "three trillion, three hundred sixty-five billion, six hundred eighty-one million, nine hundred seventy-five thousand, forty".