3759648 has 24 divisors (see below), whose sum is σ = 9869328. Its totient is φ = 1253184.

The previous prime is 3759643. The next prime is 3759667. The reversal of 3759648 is 8469573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (3759643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19486 + ... + 19677.

It is an arithmetic number, because the mean of its divisors is an integer number (411222).

Almost surely, 2^3759648 is an apocalyptic number.

It is an amenable number.

3759648 is an abundant number, since it is smaller than the sum of its proper divisors (6109680).

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

3759648 is a wasteful number, since it uses less digits than its factorization.

3759648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39176 (or 39168 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3759648 is about 1938.9811757725. The cubic root of 3759648 is about 155.4947493256.

It can be divided in two parts, 37 and 59648, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 3759648 in words is "three million, seven hundred fifty-nine thousand, six hundred forty-eight".