3778884 has 36 divisors (see below), whose sum is σ = 9813804. Its totient is φ = 1225152.

The previous prime is 3778861. The next prime is 3778897. The reversal of 3778884 is 4888773.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 2160900 = 1272^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3778884³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 2750.

Almost surely, 2^3778884 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 3778884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906902).

3778884 is an abundant number, since it is smaller than the sum of its proper divisors (6034920).

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

3778884 is a wasteful number, since it uses less digits than its factorization.

3778884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2879 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 3778884 is about 1943.9351841047. The cubic root of 3778884 is about 155.7594913259.

It can be divided in two parts, 377 and 8884, that added together give a cube (9261 = 21³).

The spelling of 3778884 in words is "three million, seven hundred seventy-eight thousand, eight hundred eighty-four".