3786144 has 24 divisors (see below), whose sum is σ = 9938880. Its totient is φ = 1262016.

The previous prime is 3786131. The next prime is 3786151. The reversal of 3786144 is 4416873.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19624 + ... + 19815.

It is an arithmetic number, because the mean of its divisors is an integer number (414120).

Almost surely, 2^3786144 is an apocalyptic number.

It is an amenable number.

3786144 is an abundant number, since it is smaller than the sum of its proper divisors (6152736).

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

3786144 is a wasteful number, since it uses less digits than its factorization.

3786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39452 (or 39444 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3786144 is about 1945.8016342886. The cubic root of 3786144 is about 155.8591760040.

The spelling of 3786144 in words is "three million, seven hundred eighty-six thousand, one hundred forty-four".