3513480122880 has 2560 divisors, whose sum is σ = 16317675601920. Its totient is φ = 696570347520.

The previous prime is 3513480122879. The next prime is 3513480122897. The reversal of 3513480122880 is 882210843153.

3513480122880 is a `hidden beast` number, since 3 + 5 + 1 + 348 + 0 + 1 + 228 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7214537997 + ... + 7214538483.

It is an arithmetic number, because the mean of its divisors is an integer number (6374092032).

Almost surely, 2^{3513480122880} is an apocalyptic number.

3513480122880 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 3513480122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158837800960).

3513480122880 is an abundant number, since it is smaller than the sum of its proper divisors (12804195479040).

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

3513480122880 is a wasteful number, since it uses less digits than its factorization.

3513480122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3513480122880 in words is "three trillion, five hundred thirteen billion, four hundred eighty million, one hundred twenty-two thousand, eight hundred eighty".