3485761684992 has 120 divisors (see below), whose sum is σ = 10074882681864. Its totient is φ = 1160218312704.

The previous prime is 3485761684973. The next prime is 3485761685009. The reversal of 3485761684992 is 2994861675843.

3485761684992 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 76 + 1 + 68 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3485761684992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593488 + ... + 3701040.

Almost surely, 2^{3485761684992} is an apocalyptic number.

3485761684992 is a gapful number since it is divisible by the number (32) 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 3485761684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037441340932).

3485761684992 is an abundant number, since it is smaller than the sum of its proper divisors (6589120996872).

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

3485761684992 is a wasteful number, since it uses less digits than its factorization.

3485761684992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108260 (or 1108241 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 3485761684992 in words is "three trillion, four hundred eighty-five billion, seven hundred sixty-one million, six hundred eighty-four thousand, nine hundred ninety-two".