3786048 has 112 divisors (see below), whose sum is σ = 12760960. Its totient is φ = 1078272.

The previous prime is 3786047. The next prime is 3786049. The reversal of 3786048 is 8406873.

It is an interprime number because it is at equal distance from previous prime (3786047) and next prime (3786049).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11940 + ... + 12252.

Almost surely, 2^3786048 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 3786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380480).

3786048 is an abundant number, since it is smaller than the sum of its proper divisors (8974912).

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

3786048 is a wasteful number, since it uses less digits than its factorization.

3786048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3786048 is about 1945.7769656361. The cubic root of 3786048 is about 155.8578586912.

It can be divided in two parts, 378 and 6048, that multiplied together give a square (2286144 = 1512²).

The spelling of 3786048 in words is "three million, seven hundred eighty-six thousand, forty-eight".