3636864 has 192 divisors, whose sum is σ = 13366080. Its totient is φ = 921600.

The previous prime is 3636839. The next prime is 3636877. The reversal of 3636864 is 4686363.

It is a tau number, because it is divible by the number of its divisors (192).

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 (62208) is a multiple of the sum of its prime divisors (64).

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, 88684 + ... + 88724.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

Almost surely, 2^3636864 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 3636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

3636864 is an abundant number, since it is smaller than the sum of its proper divisors (9729216).

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

3636864 is a wasteful number, since it uses less digits than its factorization.

3636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3636864 is about 1907.0563704306. The cubic root of 3636864 is about 153.7832448436.

It can be divided in two parts, 363 and 6864, that added together give a palindrome (7227).

The spelling of 3636864 in words is "three million, six hundred thirty-six thousand, eight hundred sixty-four".