3806120864 has 144 divisors (see below), whose sum is σ = 9544217256. Its totient is φ = 1480550400.

The previous prime is 3806120833. The next prime is 3806120873. The reversal of 3806120864 is 4680216083.

It is a happy number.

3806120864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2571301264 + 1234819600 = 50708^2 + 35140^2 .

It is a super-2 number, since 2×3806120864² = 28973112062752212992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241894 + ... + 1244954.

Almost surely, 2^3806120864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772108628).

3806120864 is an abundant number, since it is smaller than the sum of its proper divisors (5738096392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3806120864 is a wasteful number, since it uses less digits than its factorization.

3806120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 3806120864 is about 61693.7668164297. The cubic root of 3806120864 is about 1561.3281566591.

The spelling of 3806120864 in words is "three billion, eight hundred six million, one hundred twenty thousand, eight hundred sixty-four".