3643020 has 72 divisors (see below), whose sum is σ = 11369904. Its totient is φ = 943488.

The previous prime is 3643001. The next prime is 3643033. The reversal of 3643020 is 203463.

3643020 is a `hidden beast` number, since 3 + 643 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3642984 and 3643002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6387 + ... + 6933.

Almost surely, 2^3643020 is an apocalyptic number.

3643020 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 3643020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684952).

3643020 is an abundant number, since it is smaller than the sum of its proper divisors (7726884).

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

3643020 is a wasteful number, since it uses less digits than its factorization.

3643020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3643020 is about 1908.6696937920. The cubic root of 3643020 is about 153.8699638789.

Adding to 3643020 its reverse (203463), we get a palindrome (3846483).

The spelling of 3643020 in words is "three million, six hundred forty-three thousand, twenty".