3486783147849 has 27 divisors (see below), whose sum is σ = 5230135875783. Its totient is φ = 2324421264744.

The previous prime is 3486783147829. The next prime is 3486783147917. The reversal of 3486783147849 is 9487413876843.

The square root of 3486783147849 is 1867293.

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

3486783147849 is a `hidden beast` number, since 3 + 4 + 86 + 7 + 8 + 31 + 478 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2667881223225 + 818901924624 = 1633365^2 + 904932^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 3486783147849 - 2⁵ = 3486783147817 is a prime.

It is a super-3 number, since 3×3486783147849³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3486783147829) 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, 151239207 + ... + 151262259.

Almost surely, 2^{3486783147849} is an apocalyptic number.

3486783147849 is the 1867293-rd square number.

3486783147849 is the 933647-th centered octagonal number.

It is an amenable number.

3486783147849 is a deficient number, since it is larger than the sum of its proper divisors (1743352727934).

3486783147849 is an frugal number, since it uses more digits than its factorization.

3486783147849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46130 (or 23056 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 3486783147849 in words is "three trillion, four hundred eighty-six billion, seven hundred eighty-three million, one hundred forty-seven thousand, eight hundred forty-nine".