3244665409920 has 512 divisors, whose sum is σ = 13196022336000. Its totient is φ = 745185484800.

The previous prime is 3244665409849. The next prime is 3244665409927. The reversal of 3244665409920 is 299045664423.

3244665409920 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 6 + 6 + 540 + 9 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244665409927) 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 63 ways as a sum of consecutive naturals, for example, 3162310 + ... + 4060730.

It is an arithmetic number, because the mean of its divisors is an integer number (25773481125).

Almost surely, 2^{3244665409920} is an apocalyptic number.

3244665409920 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 3244665409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598011168000).

3244665409920 is an abundant number, since it is smaller than the sum of its proper divisors (9951356926080).

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

3244665409920 is a wasteful number, since it uses less digits than its factorization.

3244665409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898479 (or 898461 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3244665409920 in words is "three trillion, two hundred forty-four billion, six hundred sixty-five million, four hundred nine thousand, nine hundred twenty".