3649608 has 48 divisors (see below), whose sum is σ = 9975420. Its totient is φ = 1205376.

The previous prime is 3649601. The next prime is 3649609. The reversal of 3649608 is 8069463.

3649608 is a `hidden beast` number, since 3 + 6 + 49 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 887364 = 1662^2 + 942^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3649601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12310 + ... + 12602.

Almost surely, 2^3649608 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 3649608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987710).

3649608 is an abundant number, since it is smaller than the sum of its proper divisors (6325812).

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

3649608 is a wasteful number, since it uses less digits than its factorization.

3649608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3649608 is about 1910.3947236108. The cubic root of 3649608 is about 153.9626603124.

The spelling of 3649608 in words is "three million, six hundred forty-nine thousand, six hundred eight".