3662496 has 84 divisors (see below), whose sum is σ = 10879722. Its totient is φ = 1213056.

The previous prime is 3662473. The next prime is 3662521. The reversal of 3662496 is 6942663.

3662496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3370896 + 291600 = 1836^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (46656) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 3662496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23250 + ... + 23406.

Almost surely, 2^3662496 is an apocalyptic number.

3662496 is a gapful number since it is divisible by the number (36) 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 3662496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439861).

3662496 is an abundant number, since it is smaller than the sum of its proper divisors (7217226).

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

3662496 is an equidigital number, since it uses as much as digits as its factorization.

3662496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3662496 is about 1913.7648758403. The cubic root of 3662496 is about 154.1436788060.

The spelling of 3662496 in words is "three million, six hundred sixty-two thousand, four hundred ninety-six".