3766896 has 120 divisors (see below), whose sum is σ = 12496224. Its totient is φ = 1036800.

The previous prime is 3766891. The next prime is 3766907. The reversal of 3766896 is 6986673.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37246 + ... + 37346.

Almost surely, 2^3766896 is an apocalyptic number.

3766896 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 3766896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248112).

3766896 is an abundant number, since it is smaller than the sum of its proper divisors (8729328).

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

3766896 is a wasteful number, since it uses less digits than its factorization.

3766896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3766896 is about 1940.8492986319. The cubic root of 3766896 is about 155.5946081843.

The spelling of 3766896 in words is "three million, seven hundred sixty-six thousand, eight hundred ninety-six".