3778688 has 32 divisors (see below), whose sum is σ = 7683660. Its totient is φ = 1850368.

The previous prime is 3778681. The next prime is 3778717. The reversal of 3778688 is 8868773.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 61504 = 1928^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3778681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6506 + ... + 7062.

Almost surely, 2^3778688 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 3778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841830).

3778688 is an abundant number, since it is smaller than the sum of its proper divisors (3904972).

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

3778688 is an equidigital number, since it uses as much as digits as its factorization.

3778688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 3778688 is about 1943.8847702475. The cubic root of 3778688 is about 155.7567983449.

The spelling of 3778688 in words is "three million, seven hundred seventy-eight thousand, six hundred eighty-eight".