3481032256560 has 480 divisors, whose sum is σ = 12164897646720. Its totient is φ = 891320205312.

The previous prime is 3481032256553. The next prime is 3481032256567. The reversal of 3481032256560 is 656522301843.

3481032256560 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 0 + 3 + 22 + 565 + 60 = 666.

3481032256560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3481032256553) and next prime (3481032256567).

It is a super-2 number, since 2×3481032256560² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3481032256567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005205389 + ... + 1005208851.

It is an arithmetic number, because the mean of its divisors is an integer number (25343536764).

Almost surely, 2^{3481032256560} is an apocalyptic number.

3481032256560 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 3481032256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082448823360).

3481032256560 is an abundant number, since it is smaller than the sum of its proper divisors (8683865390160).

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

3481032256560 is a wasteful number, since it uses less digits than its factorization.

3481032256560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3481032256560 in words is "three trillion, four hundred eighty-one billion, thirty-two million, two hundred fifty-six thousand, five hundred sixty".