3865572000 has 144 divisors (see below), whose sum is σ = 13719042792. Its totient is φ = 1030809600.

The previous prime is 3865571959. The next prime is 3865572017. The reversal of 3865572000 is 2755683.

3865572000 is a `hidden beast` number, since 3 + 86 + 5 + 572 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2047743504 + 1817828496 = 45252^2 + 42636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17689 + ... + 89688.

Almost surely, 2^3865572000 is an apocalyptic number.

3865572000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859521396).

3865572000 is an abundant number, since it is smaller than the sum of its proper divisors (9853470792).

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

3865572000 is a wasteful number, since it uses less digits than its factorization.

3865572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107408 (or 107387 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3865572000 is about 62173.7243536206. The cubic root of 3865572000 is about 1569.4154449499.

The spelling of 3865572000 in words is "three billion, eight hundred sixty-five million, five hundred seventy-two thousand".