3712896 has 96 divisors (see below), whose sum is σ = 11695320. Its totient is φ = 1121280.

The previous prime is 3712889. The next prime is 3712897. The reversal of 3712896 is 6982173.

3712896 is a `hidden beast` number, since 371 + 289 + 6 = 666.

3712896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (18144) is a multiple of the sum of its prime factors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 3712896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712897) 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, 12526 + ... + 12818.

Almost surely, 2^3712896 is an apocalyptic number.

3712896 is a gapful number since it is divisible by the number (36) 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 3712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847660).

3712896 is an abundant number, since it is smaller than the sum of its proper divisors (7982424).

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

3712896 is a wasteful number, since it uses less digits than its factorization.

3712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

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

The square root of 3712896 is about 1926.8876459202. The cubic root of 3712896 is about 154.8475226167.

The spelling of 3712896 in words is "three million, seven hundred twelve thousand, eight hundred ninety-six".