3632420 has 72 divisors (see below), whose sum is σ = 8937600. Its totient is φ = 1235520.

The previous prime is 3632411. The next prime is 3632423. The reversal of 3632420 is 242363.

3632420 = 111² + 112² + ... + 230².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3632392 and 3632401.

It is not an unprimeable number, because it can be changed into a prime (3632423) 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, 45941 + ... + 46019.

Almost surely, 2^3632420 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 3632420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468800).

3632420 is an abundant number, since it is smaller than the sum of its proper divisors (5305180).

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

3632420 is a wasteful number, since it uses less digits than its factorization.

3632420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3632420 is about 1905.8908678096. The cubic root of 3632420 is about 153.7205817644.

Adding to 3632420 its reverse (242363), we get a palindrome (3874783).

The spelling of 3632420 in words is "three million, six hundred thirty-two thousand, four hundred twenty".