3760896 has 72 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 1217536.

The previous prime is 3760871. The next prime is 3760903. The reversal of 3760896 is 6980673.

3760896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45271 + ... + 45353.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 2^3760896 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 3760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

3760896 is an abundant number, since it is smaller than the sum of its proper divisors (6540864).

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

3760896 is an equidigital number, since it uses as much as digits as its factorization.

3760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3760896 is about 1939.3029675633. The cubic root of 3760896 is about 155.5119527073.

It can be divided in two parts, 3760 and 896, that added together give a triangular number (4656 = T₉₆).

The spelling of 3760896 in words is "three million, seven hundred sixty thousand, eight hundred ninety-six".