3205367968320 has 3584 divisors, whose sum is σ = 15281160192000. Its totient is φ = 614873825280.

The previous prime is 3205367968139. The next prime is 3205367968367. The reversal of 3205367968320 is 238697635023.

It is a happy number.

3205367968320 is a `hidden beast` number, since 3 + 2 + 0 + 536 + 7 + 9 + 6 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40574278041 + ... + 40574278119.

Almost surely, 2^{3205367968320} is an apocalyptic number.

3205367968320 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 3205367968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640580096000).

3205367968320 is an abundant number, since it is smaller than the sum of its proper divisors (12075792223680).

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

3205367968320 is a wasteful number, since it uses less digits than its factorization.

3205367968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3205367968320 in words is "three trillion, two hundred five billion, three hundred sixty-seven million, nine hundred sixty-eight thousand, three hundred twenty".