3833760 has 144 divisors (see below), whose sum is σ = 14134176. Its totient is φ = 870912.

The previous prime is 3833747. The next prime is 3833777. The reversal of 3833760 is 673383.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23439 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (98154).

Almost surely, 2^3833760 is an apocalyptic number.

3833760 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 3833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067088).

3833760 is an abundant number, since it is smaller than the sum of its proper divisors (10300416).

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

3833760 is a wasteful number, since it uses less digits than its factorization.

3833760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3833760 is about 1957.9989785493. The cubic root of 3833760 is about 156.5098375277.

The spelling of 3833760 in words is "three million, eight hundred thirty-three thousand, seven hundred sixty".