3485876764416 has 144 divisors (see below), whose sum is σ = 9436923323520. Its totient is φ = 1142003036160.

The previous prime is 3485876764411. The next prime is 3485876764439. The reversal of 3485876764416 is 6144676785843.

3485876764416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3485876764416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485876764411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360814626 + ... + 360824286.

Almost surely, 2^{3485876764416} 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 3485876764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718461661760).

3485876764416 is an abundant number, since it is smaller than the sum of its proper divisors (5951046559104).

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

3485876764416 is an equidigital number, since it uses as much as digits as its factorization.

3485876764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702 (or 17688 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 69.

The spelling of 3485876764416 in words is "three trillion, four hundred eighty-five billion, eight hundred seventy-six million, seven hundred sixty-four thousand, four hundred sixteen".