3649100 has 72 divisors (see below), whose sum is σ = 9770208. Its totient is φ = 1152000.

The previous prime is 3649097. The next prime is 3649133. The reversal of 3649100 is 19463.

3649100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8900 + ... + 9300.

Almost surely, 2^3649100 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 3649100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885104).

3649100 is an abundant number, since it is smaller than the sum of its proper divisors (6121108).

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

3649100 is a wasteful number, since it uses less digits than its factorization.

3649100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 3649100 is about 1910.2617621677. The cubic root of 3649100 is about 153.9555164712.

It can be divided in two parts, 364 and 9100, that multiplied together give a square (3312400 = 1820²).

The spelling of 3649100 in words is "three million, six hundred forty-nine thousand, one hundred".