3481500368576 has 224 divisors, whose sum is σ = 7901841366720. Its totient is φ = 1511571456000.

The previous prime is 3481500368483. The next prime is 3481500368603. The reversal of 3481500368576 is 6758630051843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519546026 + ... + 519552726.

It is an arithmetic number, because the mean of its divisors is an integer number (35276077530).

Almost surely, 2^{3481500368576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481500368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950920683360).

3481500368576 is an abundant number, since it is smaller than the sum of its proper divisors (4420340998144).

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

3481500368576 is a wasteful number, since it uses less digits than its factorization.

3481500368576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 3481500368576 in words is "three trillion, four hundred eighty-one billion, five hundred million, three hundred sixty-eight thousand, five hundred seventy-six".