3784849629961 has 9 divisors (see below), whose sum is σ = 3794455335189. Its totient is φ = 3775268195136.

The previous prime is 3784849629947. The next prime is 3784849629971. The reversal of 3784849629961 is 1699269484873.

The square root of 3784849629961 is 1945469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 292660442361 + 3492189187600 = 540981^2 + 1868740^2 .

It is not a de Polignac number, because 3784849629961 - 2⁵ = 3784849629929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3784849629931) 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, 842385831 + ... + 842390323.

Almost surely, 2^{3784849629961} is an apocalyptic number.

3784849629961 is the 1945469-th square number.

3784849629961 is the 972735-th centered octagonal number.

It is an amenable number.

3784849629961 is a deficient number, since it is larger than the sum of its proper divisors (9605705228).

3784849629961 is an frugal number, since it uses more digits than its factorization.

3784849629961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852 (or 4926 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 76.

The spelling of 3784849629961 in words is "three trillion, seven hundred eighty-four billion, eight hundred forty-nine million, six hundred twenty-nine thousand, nine hundred sixty-one".