3639648 has 48 divisors (see below), whose sum is σ = 9870336. Its totient is φ = 1173120.

The previous prime is 3639637. The next prime is 3639661. The reversal of 3639648 is 8469363.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 2365 + ... + 3587.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

Almost surely, 2^3639648 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 3639648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168).

3639648 is an abundant number, since it is smaller than the sum of its proper divisors (6230688).

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

3639648 is a wasteful number, since it uses less digits than its factorization.

3639648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 3639648 is about 1907.7861515380. The cubic root of 3639648 is about 153.8224749198.

It can be divided in two parts, 363 and 9648, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 3639648 in words is "three million, six hundred thirty-nine thousand, six hundred forty-eight".