3735648 has 144 divisors (see below), whose sum is σ = 12972960. Its totient is φ = 995328.

The previous prime is 3735619. The next prime is 3735649. The reversal of 3735648 is 8465373.

It is a happy number.

3735648 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 3⁸ + 7⁵ + 3¹³ + 5⁵ + 6⁴ + 4⁷ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34218 + ... + 34326.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

Almost surely, 2^3735648 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 3735648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486480).

3735648 is an abundant number, since it is smaller than the sum of its proper divisors (9237312).

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

3735648 is a wasteful number, since it uses less digits than its factorization.

3735648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

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

The square root of 3735648 is about 1932.7824502515. The cubic root of 3735648 is about 155.1631719042.

The spelling of 3735648 in words is "three million, seven hundred thirty-five thousand, six hundred forty-eight".