3205686615040 has 704 divisors, whose sum is σ = 10306975795200. Its totient is φ = 927932350464.

The previous prime is 3205686615007. The next prime is 3205686615041. The reversal of 3205686615040 is 405166865023.

It is a super-2 number, since 2×3205686615040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205686615041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256715677 + ... + 256728163.

Almost surely, 2^{3205686615040} 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 3205686615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153487897600).

3205686615040 is an abundant number, since it is smaller than the sum of its proper divisors (7101289180160).

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

3205686615040 is a wasteful number, since it uses less digits than its factorization.

3205686615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 3205686615040 in words is "three trillion, two hundred five billion, six hundred eighty-six million, six hundred fifteen thousand, forty".