3485073514440 has 128 divisors (see below), whose sum is σ = 11956291441920. Its totient is φ = 796090368000.

The previous prime is 3485073514421. The next prime is 3485073514451. The reversal of 3485073514440 is 444153705843.

It is a self number, because there is not a number n which added to its sum of digits gives 3485073514440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49120 + ... + 2640560.

It is an arithmetic number, because the mean of its divisors is an integer number (93408526890).

Almost surely, 2^{3485073514440} is an apocalyptic number.

3485073514440 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 3485073514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978145720960).

3485073514440 is an abundant number, since it is smaller than the sum of its proper divisors (8471217927480).

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

3485073514440 is a wasteful number, since it uses less digits than its factorization.

3485073514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593063 (or 2593059 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 3485073514440 in words is "three trillion, four hundred eighty-five billion, seventy-three million, five hundred fourteen thousand, four hundred forty".