3865752000 has 448 divisors, whose sum is σ = 15481889280. Its totient is φ = 936576000.

The previous prime is 3865751993. The next prime is 3865752029. The reversal of 3865752000 is 2575683.

3865752000 is a `hidden beast` number, since 3 + 86 + 57 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375187 + ... + 2376813.

Almost surely, 2^3865752000 is an apocalyptic number.

3865752000 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 3865752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740944640).

3865752000 is an abundant number, since it is smaller than the sum of its proper divisors (11616137280).

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

3865752000 is a wasteful number, since it uses less digits than its factorization.

3865752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1648 counting only the distinct ones).

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

The square root of 3865752000 is about 62175.1718936104. The cubic root of 3865752000 is about 1569.4398044665.

The spelling of 3865752000 in words is "three billion, eight hundred sixty-five million, seven hundred fifty-two thousand".