3915648 has 128 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 1175040.

The previous prime is 3915631. The next prime is 3915683. The reversal of 3915648 is 8465193.

3915648 is a `hidden beast` number, since 3 + 9 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3915648³ (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37965 + ... + 38067.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

Almost surely, 2^3915648 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 3915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364800).

3915648 is an abundant number, since it is smaller than the sum of its proper divisors (8813952).

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

3915648 is a wasteful number, since it uses less digits than its factorization.

3915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3915648 is about 1978.7996361431. The cubic root of 3915648 is about 157.6163312888.

It can be divided in two parts, 39156 and 48, that added together give a square (39204 = 198²).

The spelling of 3915648 in words is "three million, nine hundred fifteen thousand, six hundred forty-eight".