3788083200 has 624 divisors, whose sum is σ = 14625849600. Its totient is φ = 855244800.

The previous prime is 3788083147. The next prime is 3788083207. The reversal of 3788083200 is 23808873.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3788083207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64204771 + ... + 64204829.

Almost surely, 2^3788083200 is an apocalyptic number.

3788083200 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 3788083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312924800).

3788083200 is an abundant number, since it is smaller than the sum of its proper divisors (10837766400).

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

3788083200 is a wasteful number, since it uses less digits than its factorization.

3788083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3788083200 is about 61547.4061191859. The cubic root of 3788083200 is about 1558.8578095506.

The spelling of 3788083200 in words is "three billion, seven hundred eighty-eight million, eighty-three thousand, two hundred".