3651648 has 224 divisors, whose sum is σ = 13655040. Its totient is φ = 829440.

The previous prime is 3651623. The next prime is 3651653. The reversal of 3651648 is 8461563.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192183 + ... + 192201.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

Almost surely, 2^3651648 is an apocalyptic number.

3651648 is a gapful number since it is divisible by the number (38) 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 3651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827520).

3651648 is an abundant number, since it is smaller than the sum of its proper divisors (10003392).

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

3651648 is a wasteful number, since it uses less digits than its factorization.

3651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3651648 is about 1910.9285700936. The cubic root of 3651648 is about 153.9913415045.

The spelling of 3651648 in words is "three million, six hundred fifty-one thousand, six hundred forty-eight".