3866264448 has 96 divisors (see below), whose sum is σ = 10612747080. Its totient is φ = 1247063040.

The previous prime is 3866264447. The next prime is 3866264449. The reversal of 3866264448 is 8444626683.

It is an interprime number because it is at equal distance from previous prime (3866264447) and next prime (3866264449).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3866264448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3866264443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363786 + ... + 374262.

Almost surely, 2^3866264448 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 3866264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306373540).

3866264448 is an abundant number, since it is smaller than the sum of its proper divisors (6746482632).

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

3866264448 is a wasteful number, since it uses less digits than its factorization.

3866264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10513 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The square root of 3866264448 is about 62179.2927589242. The cubic root of 3866264448 is about 1569.5091502457.

The spelling of 3866264448 in words is "three billion, eight hundred sixty-six million, two hundred sixty-four thousand, four hundred forty-eight".