3418323974641 has 81 divisors (see below), whose sum is σ = 3869544145707. Its totient is φ = 3019132388160.

The previous prime is 3418323974629. The next prime is 3418323974701. The reversal of 3418323974641 is 1464793238143.

The square root of 3418323974641 is 1848871.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1940407210225 + 1477916764416 = 1392985^2 + 1215696^2 .

It is not a de Polignac number, because 3418323974641 - 2²³ = 3418315586033 is a prime.

It is a super-2 number, since 2×3418323974641² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3418323974441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46826355781 + ... + 46826355853.

It is an arithmetic number, because the mean of its divisors is an integer number (47772149947).

Almost surely, 2^{3418323974641} is an apocalyptic number.

3418323974641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3418323974641 is the 1848871-st square number.

3418323974641 is the 924436-th centered octagonal number.

It is an amenable number.

3418323974641 is a deficient number, since it is larger than the sum of its proper divisors (451220171066).

3418323974641 is an frugal number, since it uses more digits than its factorization.

3418323974641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 55.

The spelling of 3418323974641 in words is "three trillion, four hundred eighteen billion, three hundred twenty-three million, nine hundred seventy-four thousand, six hundred forty-one".