3788467200 has 924 divisors, whose sum is σ = 16646040240. Its totient is φ = 836075520.

The previous prime is 3788467169. The next prime is 3788467213. The reversal of 3788467200 is 27648873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636786 + ... + 130636814.

Almost surely, 2^3788467200 is an apocalyptic number.

3788467200 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 3788467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323020120).

3788467200 is an abundant number, since it is smaller than the sum of its proper divisors (12857573040).

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

3788467200 is an equidigital number, since it uses as much as digits as its factorization.

3788467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3788467200 is about 61550.5255867080. The cubic root of 3788467200 is about 1558.9104818513.

The spelling of 3788467200 in words is "three billion, seven hundred eighty-eight million, four hundred sixty-seven thousand, two hundred".