3782819200 has 192 divisors, whose sum is σ = 9865440000. Its totient is φ = 1430415360.

The previous prime is 3782819197. The next prime is 3782819207. The reversal of 3782819200 is 29182873.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782819207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7580551 + ... + 7581049.

It is an arithmetic number, because the mean of its divisors is an integer number (51382500).

Almost surely, 2^3782819200 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 3782819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720000).

3782819200 is an abundant number, since it is smaller than the sum of its proper divisors (6082620800).

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

3782819200 is a wasteful number, since it uses less digits than its factorization.

3782819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 3782819200 is about 61504.6274681832. The cubic root of 3782819200 is about 1558.1354009682.

The spelling of 3782819200 in words is "three billion, seven hundred eighty-two million, eight hundred nineteen thousand, two hundred".