3403989546768 has 30 divisors (see below), whose sum is σ = 9526442968094. Its totient is φ = 1134663182208.

The previous prime is 3403989546761. The next prime is 3403989546817. The reversal of 3403989546768 is 8676459893043.

3403989546768 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 9 + 8 + 9 + 546 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3282517779984 + 121471766784 = 1811772^2 + 348528^2 .

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 = 3403989546696 and 3403989546705.

It is not an unprimeable number, because it can be changed into a prime (3403989546761) 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 5 ways as a sum of consecutive naturals, for example, 11819408005 + ... + 11819408292.

Almost surely, 2^{3403989546768} is an apocalyptic number.

It is an amenable number.

3403989546768 is an abundant number, since it is smaller than the sum of its proper divisors (6122453421326).

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

3403989546768 is a wasteful number, since it uses less digits than its factorization.

3403989546768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23638816311 (or 23638816302 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 3403989546768 in words is "three trillion, four hundred three billion, nine hundred eighty-nine million, five hundred forty-six thousand, seven hundred sixty-eight".