3641820 has 192 divisors, whose sum is σ = 13547520. Its totient is φ = 709632.

The previous prime is 3641819. The next prime is 3641831. The reversal of 3641820 is 281463.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 125566 + ... + 125594.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

Almost surely, 2^3641820 is an apocalyptic number.

3641820 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 3641820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

3641820 is an abundant number, since it is smaller than the sum of its proper divisors (9905700).

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

3641820 is a wasteful number, since it uses less digits than its factorization.

3641820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3641820 is about 1908.3553128283. The cubic root of 3641820 is about 153.8530672534.

The spelling of 3641820 in words is "three million, six hundred forty-one thousand, eight hundred twenty".