3781008 has 180 divisors, whose sum is σ = 13721344. Its totient is φ = 950400.

The previous prime is 3781007. The next prime is 3781079. The reversal of 3781008 is 8001873.

It is not an unprimeable number, because it can be changed into a prime (3781007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121953 + ... + 121983.

Almost surely, 2^3781008 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 3781008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860672).

3781008 is an abundant number, since it is smaller than the sum of its proper divisors (9940336).

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

3781008 is a wasteful number, since it uses less digits than its factorization.

3781008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3781008 is about 1944.4814218706. The cubic root of 3781008 is about 155.7886684758.

The spelling of 3781008 in words is "three million, seven hundred eighty-one thousand, eight".