3205386138240 has 2048 divisors, whose sum is σ = 13832288870400. Its totient is φ = 691155763200.

The previous prime is 3205386138223. The next prime is 3205386138259. The reversal of 3205386138240 is 428316835023.

3205386138240 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 3 + 8 + 613 + 8 + 24 + 0 = 666.

It is a super-2 number, since 2×3205386138240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10306707685 + ... + 10306707995.

It is an arithmetic number, because the mean of its divisors is an integer number (6754047300).

Almost surely, 2^{3205386138240} is an apocalyptic number.

3205386138240 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 3205386138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916144435200).

3205386138240 is an abundant number, since it is smaller than the sum of its proper divisors (10626902732160).

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

3205386138240 is a wasteful number, since it uses less digits than its factorization.

3205386138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3205386138240 in words is "three trillion, two hundred five billion, three hundred eighty-six million, one hundred thirty-eight thousand, two hundred forty".