3653820 has 72 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 953472.

The previous prime is 3653809. The next prime is 3653821. The reversal of 3653820 is 283563.

3653820 is a `hidden beast` number, since 3 + 653 + 8 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9349 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 2^3653820 is an apocalyptic number.

3653820 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 3653820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3653820 is an abundant number, since it is smaller than the sum of its proper divisors (7668036).

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

3653820 is a wasteful number, since it uses less digits than its factorization.

3653820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3653820 is about 1911.4967957075. The cubic root of 3653820 is about 154.0218667999.

The spelling of 3653820 in words is "three million, six hundred fifty-three thousand, eight hundred twenty".