3364542764361 has 27 divisors (see below), whose sum is σ = 4965878897031. Its totient is φ = 2195135745984.

The previous prime is 3364542764353. The next prime is 3364542764383. The reversal of 3364542764361 is 1634672454633.

It is a happy number.

The square root of 3364542764361 is 1834269.

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

3364542764361 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 5 + 4 + 276 + 4 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 670874026761 + 2693668737600 = 819069^2 + 1641240^2 .

It is not a de Polignac number, because 3364542764361 - 2³ = 3364542764353 is a prime.

It is a super-3 number, since 3×3364542764361³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3364542764298 and 3364542764307.

It is not an unprimeable number, because it can be changed into a prime (3364542764461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258625425 + ... + 258638433.

Almost surely, 2^{3364542764361} is an apocalyptic number.

3364542764361 is the 1834269-th square number.

3364542764361 is the 917135-th centered octagonal number.

It is an amenable number.

3364542764361 is a deficient number, since it is larger than the sum of its proper divisors (1601336132670).

3364542764361 is an frugal number, since it uses more digits than its factorization.

3364542764361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26118 (or 13059 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 3364542764361 in words is "three trillion, three hundred sixty-four billion, five hundred forty-two million, seven hundred sixty-four thousand, three hundred sixty-one".