3779712 has 96 divisors (see below), whose sum is σ = 11575980. Its totient is φ = 1179648.

The previous prime is 3779707. The next prime is 3779753. The reversal of 3779712 is 2179773.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 576 = 1944^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 19488 + ... + 19680.

Almost surely, 2^3779712 is an apocalyptic number.

3779712 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 3779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787990).

3779712 is an abundant number, since it is smaller than the sum of its proper divisors (7796268).

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

3779712 is a wasteful number, since it uses less digits than its factorization.

3779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 3779712 is about 1944.1481425035. The cubic root of 3779712 is about 155.7708667691.

The spelling of 3779712 in words is "three million, seven hundred seventy-nine thousand, seven hundred twelve".