3788418816 has 576 divisors, whose sum is σ = 14559820800. Its totient is φ = 943570944.

The previous prime is 3788418811. The next prime is 3788418833. The reversal of 3788418816 is 6188148873.

It is a happy number.

3788418816 is a `hidden beast` number, since 378 + 84 + 188 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788418811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950690 + ... + 11951006.

Almost surely, 2^3788418816 is an apocalyptic number.

3788418816 is a gapful number since it is divisible by the number (36) 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 3788418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279910400).

3788418816 is an abundant number, since it is smaller than the sum of its proper divisors (10771401984).

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

3788418816 is a wasteful number, since it uses less digits than its factorization.

3788418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 361 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 3788418816 is about 61550.1325425055. The cubic root of 3788418816 is about 1558.9038453374.

The spelling of 3788418816 in words is "three billion, seven hundred eighty-eight million, four hundred eighteen thousand, eight hundred sixteen".