3640480 has 48 divisors (see below), whose sum is σ = 8765064. Its totient is φ = 1428480.

The previous prime is 3640471. The next prime is 3640487. The reversal of 3640480 is 840463.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 1669264 = 1404^2 + 1292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9574 + ... + 9946.

Almost surely, 2^3640480 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 3640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532).

3640480 is an abundant number, since it is smaller than the sum of its proper divisors (5124584).

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

3640480 is a wasteful number, since it uses less digits than its factorization.

3640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3640480 is about 1908.0041928675. The cubic root of 3640480 is about 153.8341949679.

The spelling of 3640480 in words is "three million, six hundred forty thousand, four hundred eighty".