3405166375753 has 16 divisors (see below), whose sum is σ = 3582727963920. Its totient is φ = 3232116864000.

The previous prime is 3405166375733. The next prime is 3405166375817. The reversal of 3405166375753 is 3575736615043.

3405166375753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 196206474304 + 3208959901449 = 442952^2 + 1791357^2 .

It is a cyclic number.

It is not a de Polignac number, because 3405166375753 - 2²¹ = 3405164278601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3405166375694 and 3405166375703.

It is not an unprimeable number, because it can be changed into a prime (3405166375703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26497053 + ... + 26625253.

It is an arithmetic number, because the mean of its divisors is an integer number (223920497745).

Almost surely, 2^{3405166375753} is an apocalyptic number.

It is an amenable number.

3405166375753 is a deficient number, since it is larger than the sum of its proper divisors (177561588167).

3405166375753 is a wasteful number, since it uses less digits than its factorization.

3405166375753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145788.

The product of its (nonzero) digits is 23814000, while the sum is 55.

The spelling of 3405166375753 in words is "three trillion, four hundred five billion, one hundred sixty-six million, three hundred seventy-five thousand, seven hundred fifty-three".