3220365412440 has 384 divisors, whose sum is σ = 11815542835200. Its totient is φ = 753615360000.

The previous prime is 3220365412361. The next prime is 3220365412463. The reversal of 3220365412440 is 442145630223.

3220365412440 is a `hidden beast` number, since 3 + 2 + 20 + 36 + 541 + 24 + 40 = 666.

3220365412440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3220365412395 and 3220365412404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49194051 + ... + 49259469.

It is an arithmetic number, because the mean of its divisors is an integer number (30769642800).

Almost surely, 2^{3220365412440} is an apocalyptic number.

3220365412440 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 3220365412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907771417600).

3220365412440 is an abundant number, since it is smaller than the sum of its proper divisors (8595177422760).

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

3220365412440 is a wasteful number, since it uses less digits than its factorization.

3220365412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65879 (or 65872 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3220365412440 in words is "three trillion, two hundred twenty billion, three hundred sixty-five million, four hundred twelve thousand, four hundred forty".