3607136 has 72 divisors (see below), whose sum is σ = 8300880. Its totient is φ = 1537536.

The previous prime is 3607133. The next prime is 3607147. The reversal of 3607136 is 6317063.

It is a super-2 number, since 2×3607136² = 26022860244992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3607133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124370 + ... + 124398.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

Almost surely, 2^3607136 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 3607136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150440).

3607136 is an abundant number, since it is smaller than the sum of its proper divisors (4693744).

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

3607136 is a wasteful number, since it uses less digits than its factorization.

3607136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 3607136 is about 1899.2461662460. The cubic root of 3607136 is about 153.3630860139.

The spelling of 3607136 in words is "three million, six hundred seven thousand, one hundred thirty-six".