3634020 has 72 divisors (see below), whose sum is σ = 11878776. Its totient is φ = 893952.

The previous prime is 3634009. The next prime is 3634021. The reversal of 3634020 is 204363.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 3594816 = 198^2 + 1896^2 .

It is a super-2 number, since 2×3634020² = 26412202720800, which contains 22 as substring.

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 = 3633984 and 3634002.

It is not an unprimeable number, because it can be changed into a prime (3634021) 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 23 ways as a sum of consecutive naturals, for example, 1564 + ... + 3116.

It is an arithmetic number, because the mean of its divisors is an integer number (164983).

Almost surely, 2^3634020 is an apocalyptic number.

3634020 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 3634020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939388).

3634020 is an abundant number, since it is smaller than the sum of its proper divisors (8244756).

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

3634020 is a wasteful number, since it uses less digits than its factorization.

3634020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1576 counting only the distinct ones).

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

The square root of 3634020 is about 1906.3105728081. The cubic root of 3634020 is about 153.7431486140.

Adding to 3634020 its reverse (204363), we get a palindrome (3838383).

The spelling of 3634020 in words is "three million, six hundred thirty-four thousand, twenty".