3788819712 has 180 divisors, whose sum is σ = 11430078660. Its totient is φ = 1248141312.

The previous prime is 3788819701. The next prime is 3788819737. The reversal of 3788819712 is 2179188873.

It is a happy number.

3788819712 is a `hidden beast` number, since 378 + 88 + 197 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1306388736 + 2482430976 = 36144^2 + 49824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1844478 + ... + 1846530.

It is an arithmetic number, because the mean of its divisors is an integer number (63500437).

Almost surely, 2^3788819712 is an apocalyptic number.

3788819712 is a gapful number since it is divisible by the number (32) 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 3788819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715039330).

3788819712 is an abundant number, since it is smaller than the sum of its proper divisors (7641258948).

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

3788819712 is an equidigital number, since it uses as much as digits as its factorization.

3788819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2147 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 3788819712 is about 61553.3891187155. The cubic root of 3788819712 is about 1558.9588318901.

It can be divided in two parts, 37888 and 19712, that added together give a square (57600 = 240²).

The spelling of 3788819712 in words is "three billion, seven hundred eighty-eight million, eight hundred nineteen thousand, seven hundred twelve".