3537648 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1114560.

The previous prime is 3537647. The next prime is 3537659. The reversal of 3537648 is 8467353.

It is a happy number.

3537648 is a `hidden beast` number, since 3 + 5 + 3 + 7 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993 + ... + 8423.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^3537648 is an apocalyptic number.

3537648 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 3537648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3537648 is an abundant number, since it is smaller than the sum of its proper divisors (7175952).

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

3537648 is a wasteful number, since it uses less digits than its factorization.

3537648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3537648 is about 1880.8636314204. The cubic root of 3537648 is about 152.3718963616.

It can be divided in two parts, 353 and 7648, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 3537648 in words is "three million, five hundred thirty-seven thousand, six hundred forty-eight".