3414181761 has 9 divisors (see below), whose sum is σ = 4931849091. Its totient is φ = 2276004312.

The previous prime is 3414181741. The next prime is 3414181781. The reversal of 3414181761 is 1671814143.

The square root of 3414181761 is 58431.

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

3414181761 is a `hidden beast` number, since 3 + 414 + 181 + 7 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (3414181741) and next prime (3414181781).

It can be written as a sum of positive squares in only one way, i.e., 2430983025 + 983198736 = 49305^2 + 31356^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3414181761 - 2⁷ = 3414181633 is a prime.

It is a super-3 number, since 3×3414181761³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3414181721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165555 + ... + 185031.

Almost surely, 2^3414181761 is an apocalyptic number.

3414181761 is the 58431-st square number.

3414181761 is the 29216-th centered octagonal number.

It is an amenable number.

3414181761 is a deficient number, since it is larger than the sum of its proper divisors (1517667330).

3414181761 is an frugal number, since it uses more digits than its factorization.

3414181761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960 (or 19480 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The cubic root of 3414181761 is about 1505.7823860316.

Multiplying 3414181761 by its sum of digits (36), we get a square (122910543396 = 350586²).

The spelling of 3414181761 in words is "three billion, four hundred fourteen million, one hundred eighty-one thousand, seven hundred sixty-one".