3786912 has 72 divisors (see below), whose sum is σ = 11190816. Its totient is φ = 1259712.

The previous prime is 3786899. The next prime is 3786919. The reversal of 3786912 is 2196873.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3786919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7533 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (155428).

Almost surely, 2^3786912 is an apocalyptic number.

3786912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595408).

3786912 is an abundant number, since it is smaller than the sum of its proper divisors (7403904).

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

3786912 is an equidigital number, since it uses as much as digits as its factorization.

3786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3786912 is about 1945.9989722505. The cubic root of 3786912 is about 155.8697137045.

The spelling of 3786912 in words is "three million, seven hundred eighty-six thousand, nine hundred twelve".