3445757682768 has 60 divisors (see below), whose sum is σ = 9643508325568. Its totient is φ = 1148565337920.

The previous prime is 3445757682743. The next prime is 3445757682781. The reversal of 3445757682768 is 8672867575443.

3445757682768 is a `hidden beast` number, since 3 + 4 + 45 + 7 + 576 + 8 + 2 + 7 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3445757682696 and 3445757682705.

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, 9332553 + ... + 9694743.

Almost surely, 2^{3445757682768} is an apocalyptic number.

It is an amenable number.

3445757682768 is an abundant number, since it is smaller than the sum of its proper divisors (6197750642800).

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

3445757682768 is a wasteful number, since it uses less digits than its factorization.

3445757682768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428272 (or 428263 counting only the distinct ones).

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

The spelling of 3445757682768 in words is "three trillion, four hundred forty-five billion, seven hundred fifty-seven million, six hundred eighty-two thousand, seven hundred sixty-eight".