3649200 has 60 divisors (see below), whose sum is σ = 11693448. Its totient is φ = 972800.

The previous prime is 3649193. The next prime is 3649201. The reversal of 3649200 is 29463.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3649201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321 + ... + 2720.

Almost surely, 2^3649200 is an apocalyptic number.

3649200 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 3649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846724).

3649200 is an abundant number, since it is smaller than the sum of its proper divisors (8044248).

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

3649200 is a wasteful number, since it uses less digits than its factorization.

3649200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3649200 is about 1910.2879364117. The cubic root of 3649200 is about 153.9569227915.

The spelling of 3649200 in words is "three million, six hundred forty-nine thousand, two hundred".