3413746177645 has 64 divisors (see below), whose sum is σ = 4632826337280. Its totient is φ = 2399546032128.

The previous prime is 3413746177627. The next prime is 3413746177651. The reversal of 3413746177645 is 5467716473143.

3413746177645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3413746177645 - 2²⁹ = 3413209306733 is a prime.

It is a super-3 number, since 3×3413746177645³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 3413746177645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31517572 + ... + 31625698.

It is an arithmetic number, because the mean of its divisors is an integer number (72387911520).

Almost surely, 2^{3413746177645} is an apocalyptic number.

It is an amenable number.

3413746177645 is a deficient number, since it is larger than the sum of its proper divisors (1219080159635).

3413746177645 is a wasteful number, since it uses less digits than its factorization.

3413746177645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108454.

The product of its digits is 35562240, while the sum is 58.

The spelling of 3413746177645 in words is "three trillion, four hundred thirteen billion, seven hundred forty-six million, one hundred seventy-seven thousand, six hundred forty-five".