3784825840 has 80 divisors (see below), whose sum is σ = 9314716320. Its totient is φ = 1426222080.

The previous prime is 3784825829. The next prime is 3784825841. The reversal of 3784825840 is 485284873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784825841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268242 + ... + 281998.

It is an arithmetic number, because the mean of its divisors is an integer number (116433954).

Almost surely, 2^3784825840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657358160).

3784825840 is an abundant number, since it is smaller than the sum of its proper divisors (5529890480).

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

3784825840 is a wasteful number, since it uses less digits than its factorization.

3784825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13964 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The square root of 3784825840 is about 61520.9382243151. The cubic root of 3784825840 is about 1558.4108625546.

The spelling of 3784825840 in words is "three billion, seven hundred eighty-four million, eight hundred twenty-five thousand, eight hundred forty".