3623136 has 96 divisors (see below), whose sum is σ = 10741248. Its totient is φ = 1059840.

The previous prime is 3623117. The next prime is 3623143. The reversal of 3623136 is 6313263.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3623136² = 26254228948992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49596 + ... + 49668.

It is an arithmetic number, because the mean of its divisors is an integer number (111888).

Almost surely, 2^3623136 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 3623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624).

3623136 is an abundant number, since it is smaller than the sum of its proper divisors (7118112).

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

3623136 is a wasteful number, since it uses less digits than its factorization.

3623136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 3623136 is about 1903.4537031407. The cubic root of 3623136 is about 153.5895066616.

Adding to 3623136 its reverse (6313263), we get a palindrome (9936399).

The spelling of 3623136 in words is "three million, six hundred twenty-three thousand, one hundred thirty-six".