3223660073040 has 1280 divisors, whose sum is σ = 13496166190080. Its totient is φ = 698056704000.

The previous prime is 3223660073021. The next prime is 3223660073047. The reversal of 3223660073040 is 403700663223.

3223660073040 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 6 + 600 + 7 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3223660072986 and 3223660073004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223660073047) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 612744010 + ... + 612749270.

It is an arithmetic number, because the mean of its divisors is an integer number (10543879836).

Almost surely, 2^{3223660073040} is an apocalyptic number.

3223660073040 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 3223660073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748083095040).

3223660073040 is an abundant number, since it is smaller than the sum of its proper divisors (10272506117040).

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

3223660073040 is a wasteful number, since it uses less digits than its factorization.

3223660073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 3223660073040 in words is "three trillion, two hundred twenty-three billion, six hundred sixty million, seventy-three thousand, forty".