3840825600 has 540 divisors, whose sum is σ = 14720724480. Its totient is φ = 987033600.

The previous prime is 3840825587. The next prime is 3840825647. The reversal of 3840825600 is 65280483.

3840825600 is a `hidden beast` number, since 3 + 8 + 40 + 8 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16070281 + ... + 16070519.

Almost surely, 2^3840825600 is an apocalyptic number.

3840825600 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 3840825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360362240).

3840825600 is an abundant number, since it is smaller than the sum of its proper divisors (10879898880).

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

3840825600 is a wasteful number, since it uses less digits than its factorization.

3840825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3840825600 is about 61974.3947126553. The cubic root of 3840825600 is about 1566.0592746313.

The spelling of 3840825600 in words is "three billion, eight hundred forty million, eight hundred twenty-five thousand, six hundred".