3490483618560 has 432 divisors, whose sum is σ = 11544888096000. Its totient is φ = 898742476800.

The previous prime is 3490483618543. The next prime is 3490483618577. The reversal of 3490483618560 is 658163840943.

It is an interprime number because it is at equal distance from previous prime (3490483618543) and next prime (3490483618577).

It is a self number, because there is not a number n which added to its sum of digits gives 3490483618560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2328540691 + ... + 2328542189.

It is an arithmetic number, because the mean of its divisors is an integer number (26724278000).

Almost surely, 2^{3490483618560} is an apocalyptic number.

3490483618560 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 3490483618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772444048000).

3490483618560 is an abundant number, since it is smaller than the sum of its proper divisors (8054404477440).

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

3490483618560 is a wasteful number, since it uses less digits than its factorization.

3490483618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 3490483618560 in words is "three trillion, four hundred ninety billion, four hundred eighty-three million, six hundred eighteen thousand, five hundred sixty".