3856585064761 has 81 divisors (see below), whose sum is σ = 4753799750511. Its totient is φ = 3124828792800.

The previous prime is 3856585064729. The next prime is 3856585064777. The reversal of 3856585064761 is 1674605856583.

It is a happy number.

The square root of 3856585064761 is 1963819.

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., 570500749225 + 3286084315536 = 755315^2 + 1812756^2 .

It is not a de Polignac number, because 3856585064761 - 2⁵ = 3856585064729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3856585064693 and 3856585064702.

It is not an unprimeable number, because it can be changed into a prime (3856585064461) 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, 8705609406 + ... + 8705609848.

Almost surely, 2^{3856585064761} is an apocalyptic number.

3856585064761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3856585064761 is the 1963819-th square number.

3856585064761 is the 981910-th centered octagonal number.

It is an amenable number.

3856585064761 is a deficient number, since it is larger than the sum of its proper divisors (897214685750).

3856585064761 is an equidigital number, since it uses as much as digits as its factorization.

3856585064761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 64.

Multiplying 3856585064761 by its sum of digits (64), we get a square (246821444144704 = 15710552²).

The spelling of 3856585064761 in words is "three trillion, eight hundred fifty-six billion, five hundred eighty-five million, sixty-four thousand, seven hundred sixty-one".