3649920 has 64 divisors (see below), whose sum is σ = 11640240. Its totient is φ = 972800.

The previous prime is 3649913. The next prime is 3649931. The reversal of 3649920 is 299463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 2870.

Almost surely, 2^3649920 is an apocalyptic number.

3649920 is a gapful number since it is divisible by the number (30) 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 3649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820120).

3649920 is an abundant number, since it is smaller than the sum of its proper divisors (7990320).

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

3649920 is a wasteful number, since it uses less digits than its factorization.

3649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3649920 is about 1910.4763803827. The cubic root of 3649920 is about 153.9670475399.

The spelling of 3649920 in words is "three million, six hundred forty-nine thousand, nine hundred twenty".