36746624 has 32 divisors (see below), whose sum is σ = 75194400. Its totient is φ = 17874432.

The previous prime is 36746603. The next prime is 36746641. The reversal of 36746624 is 42664763.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (2349825).

Almost surely, 2^36746624 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 36746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37597200).

36746624 is an abundant number, since it is smaller than the sum of its proper divisors (38447776).

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

36746624 is an equidigital number, since it uses as much as digits as its factorization.

36746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7798 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 36746624 is about 6061.8993723090. The cubic root of 36746624 is about 332.4598070775.

The spelling of 36746624 in words is "thirty-six million, seven hundred forty-six thousand, six hundred twenty-four".