3788512 has 48 divisors (see below), whose sum is σ = 9186912. Its totient is φ = 1497600.

The previous prime is 3788509. The next prime is 3788563. The reversal of 3788512 is 2158873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2262 + ... + 3562.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 2^3788512 is an apocalyptic number.

3788512 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 3788512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593456).

3788512 is an abundant number, since it is smaller than the sum of its proper divisors (5398400).

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

3788512 is a wasteful number, since it uses less digits than its factorization.

3788512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 3788512 is about 1946.4100287452. The cubic root of 3788512 is about 155.8916626721.

The spelling of 3788512 in words is "three million, seven hundred eighty-eight thousand, five hundred twelve".