3649280 has 36 divisors (see below), whose sum is σ = 8744232. Its totient is φ = 1459200.

The previous prime is 3649259. The next prime is 3649297. The reversal of 3649280 is 829463.

3649280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146 + ... + 2705.

Almost surely, 2^3649280 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 3649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372116).

3649280 is an abundant number, since it is smaller than the sum of its proper divisors (5094952).

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

3649280 is an equidigital number, since it uses as much as digits as its factorization.

3649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3649280 is about 1910.3088755487. The cubic root of 3649280 is about 153.9580478293.

The spelling of 3649280 in words is "three million, six hundred forty-nine thousand, two hundred eighty".