3472881441120 has 960 divisors, whose sum is σ = 15310266402816. Its totient is φ = 721786982400.

The previous prime is 3472881441103. The next prime is 3472881441121. The reversal of 3472881441120 is 211441882743.

3472881441120 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 8 + 81 + 441 + 120 = 666.

3472881441120 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472881441121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78995145 + ... + 79039095.

Almost surely, 2^{3472881441120} is an apocalyptic number.

3472881441120 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 3472881441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655133201408).

3472881441120 is an abundant number, since it is smaller than the sum of its proper divisors (11837384961696).

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

3472881441120 is a wasteful number, since it uses less digits than its factorization.

3472881441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44065 (or 44048 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 3472881441120 in words is "three trillion, four hundred seventy-two billion, eight hundred eighty-one million, four hundred forty-one thousand, one hundred twenty".