3474710135505 has 144 divisors (see below), whose sum is σ = 7052622754320. Its totient is φ = 1577918555136.

The previous prime is 3474710135471. The next prime is 3474710135563. The reversal of 3474710135505 is 5055310174743.

3474710135505 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 7 + 1 + 0 + 135 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 500958190656 + 2973751944849 = 707784^2 + 1724457^2 .

It is not a de Polignac number, because 3474710135505 - 2²⁴ = 3474693358289 is a prime.

It is a super-2 number, since 2×3474710135505² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 554265511 + ... + 554271779.

It is an arithmetic number, because the mean of its divisors is an integer number (48976546905).

Almost surely, 2^{3474710135505} is an apocalyptic number.

3474710135505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3474710135505 is an abundant number, since it is smaller than the sum of its proper divisors (3577912618815).

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

3474710135505 is a wasteful number, since it uses less digits than its factorization.

3474710135505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 3474710135505 in words is "three trillion, four hundred seventy-four billion, seven hundred ten million, one hundred thirty-five thousand, five hundred five".