36842624 has 64 divisors (see below), whose sum is σ = 90363840. Its totient is φ = 14570496.

The previous prime is 36842623. The next prime is 36842627. The reversal of 36842624 is 42624863.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36842623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10067 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (1411935).

Almost surely, 2^36842624 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 36842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45181920).

36842624 is an abundant number, since it is smaller than the sum of its proper divisors (53521216).

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

36842624 is a wasteful number, since it uses less digits than its factorization.

36842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3185 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 36842624 is about 6069.8125176977. The cubic root of 36842624 is about 332.7490707322.

The spelling of 36842624 in words is "thirty-six million, eight hundred forty-two thousand, six hundred twenty-four".