3852576 has 192 divisors, whose sum is σ = 14112000. Its totient is φ = 1016064.

The previous prime is 3852559. The next prime is 3852581. The reversal of 3852576 is 6752583.

3852576 is a `hidden beast` number, since 3 + 85 + 2 + 576 = 666.

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

Its product of digits (50400) is a multiple of the sum of its prime divisors (25).

It is a self number, because there is not a number n which added to its sum of digits gives 3852576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296346 + ... + 296358.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

Almost surely, 2^3852576 is an apocalyptic number.

3852576 is a gapful number since it is divisible by the number (36) 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 3852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

3852576 is an abundant number, since it is smaller than the sum of its proper divisors (10259424).

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

3852576 is a wasteful number, since it uses less digits than its factorization.

3852576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

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

The square root of 3852576 is about 1962.7980028521. The cubic root of 3852576 is about 156.7654685863.

The spelling of 3852576 in words is "three million, eight hundred fifty-two thousand, five hundred seventy-six".