3423436177759 has 128 divisors (see below), whose sum is σ = 4211730432000. Its totient is φ = 2752023859200.

The previous prime is 3423436177757. The next prime is 3423436177769. The reversal of 3423436177759 is 9577716343243.

It is not a de Polignac number, because 3423436177759 - 2¹ = 3423436177757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3423436177697 and 3423436177706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423436177751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6146204709 + ... + 6146205265.

It is an arithmetic number, because the mean of its divisors is an integer number (32904144000).

Almost surely, 2^{3423436177759} is an apocalyptic number.

3423436177759 is a deficient number, since it is larger than the sum of its proper divisors (788294254241).

3423436177759 is a wasteful number, since it uses less digits than its factorization.

3423436177759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049.

The product of its digits is 80015040, while the sum is 61.

The spelling of 3423436177759 in words is "three trillion, four hundred twenty-three billion, four hundred thirty-six million, one hundred seventy-seven thousand, seven hundred fifty-nine".