3885600 has 72 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 1035520.

The previous prime is 3885599. The next prime is 3885619. The reversal of 3885600 is 65883.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1591 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^3885600 is an apocalyptic number.

3885600 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 3885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

3885600 is an abundant number, since it is smaller than the sum of its proper divisors (8769840).

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

3885600 is a wasteful number, since it uses less digits than its factorization.

3885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3885600 is about 1971.1925324534. The cubic root of 3885600 is about 157.2121221608.

The spelling of 3885600 in words is "three million, eight hundred eighty-five thousand, six hundred".