3886275600 has 135 divisors (see below), whose sum is σ = 13499448573. Its totient is φ = 1035342720.

The previous prime is 3886275559. The next prime is 3886275607. The reversal of 3886275600 is 65726883.

The square root of 3886275600 is 62340.

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

3886275600 is a `hidden beast` number, since 3 + 8 + 86 + 2 + 7 + 560 + 0 = 666.

3886275600 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 only one way, i.e., 1399059216 + 2487216384 = 37404^2 + 49872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3886275607) 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, 3739881 + ... + 3740919.

Almost surely, 2^3886275600 is an apocalyptic number.

3886275600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3886275600 is the 62340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886275600

3886275600 is an abundant number, since it is smaller than the sum of its proper divisors (9613172973).

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

3886275600 is a wasteful number, since it uses less digits than its factorization.

3886275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 3886275600 is about 1572.2123326806.

The spelling of 3886275600 in words is "three billion, eight hundred eighty-six million, two hundred seventy-five thousand, six hundred".