3788636544 has 512 divisors, whose sum is σ = 14570496000. Its totient is φ = 939755520.

The previous prime is 3788636503. The next prime is 3788636549. The reversal of 3788636544 is 4456368873.

3788636544 is a `hidden beast` number, since 37 + 8 + 8 + 63 + 6 + 544 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788636549) 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, 6120267 + ... + 6120885.

It is an arithmetic number, because the mean of its divisors is an integer number (28458000).

Almost surely, 2^3788636544 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 3788636544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285248000).

3788636544 is an abundant number, since it is smaller than the sum of its proper divisors (10781859456).

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

3788636544 is a wasteful number, since it uses less digits than its factorization.

3788636544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3788636544 is about 61551.9012216520. The cubic root of 3788636544 is about 1558.9337092051.

The spelling of 3788636544 in words is "three billion, seven hundred eighty-eight million, six hundred thirty-six thousand, five hundred forty-four".