3445757682876 has 72 divisors (see below), whose sum is σ = 9017484774480. Its totient is φ = 1108114689024.

The previous prime is 3445757682863. The next prime is 3445757682877. The reversal of 3445757682876 is 6782867575443.

3445757682876 is a `hidden beast` number, since 3 + 4 + 45 + 7 + 576 + 8 + 2 + 8 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445757682877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53196 + ... + 2625708.

It is an arithmetic number, because the mean of its divisors is an integer number (125242844090).

Almost surely, 2^{3445757682876} is an apocalyptic number.

3445757682876 is a gapful number since it is divisible by the number (36) 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 3445757682876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508742387240).

3445757682876 is an abundant number, since it is smaller than the sum of its proper divisors (5571727091604).

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

3445757682876 is a wasteful number, since it uses less digits than its factorization.

3445757682876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573835 (or 2573830 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 3445757682876 in words is "three trillion, four hundred forty-five billion, seven hundred fifty-seven million, six hundred eighty-two thousand, eight hundred seventy-six".