3244485404160 has 4800 divisors, whose sum is σ = 16594844112000. Its totient is φ = 600859607040.

The previous prime is 3244485404141. The next prime is 3244485404177. The reversal of 3244485404160 is 614045844423.

It is a happy number.

3244485404160 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 4 + 8 + 540 + 41 + 60 = 666.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 111878807026 + ... + 111878807054.

It is an arithmetic number, because the mean of its divisors is an integer number (3457259190).

Almost surely, 2^{3244485404160} is an apocalyptic number.

3244485404160 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 3244485404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297422056000).

3244485404160 is an abundant number, since it is smaller than the sum of its proper divisors (13350358707840).

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

3244485404160 is a wasteful number, since it uses less digits than its factorization.

3244485404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 3244485404160 in words is "three trillion, two hundred forty-four billion, four hundred eighty-five million, four hundred four thousand, one hundred sixty".