3852576000 has 1152 divisors, whose sum is σ = 17856384000. Its totient is φ = 812851200.

The previous prime is 3852575959. The next prime is 3852576011. The reversal of 3852576000 is 6752583.

3852576000 is a `hidden beast` number, since 3 + 85 + 2 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 296351994 + ... + 296352006.

Almost surely, 2^3852576000 is an apocalyptic number.

3852576000 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 3852576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928192000).

3852576000 is an abundant number, since it is smaller than the sum of its proper divisors (14003808000).

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

3852576000 is an equidigital number, since it uses as much as digits as its factorization.

3852576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

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

The square root of 3852576000 is about 62069.1227584215. The cubic root of 3852576000 is about 1567.6546858632.

The spelling of 3852576000 in words is "three billion, eight hundred fifty-two million, five hundred seventy-six thousand".