36801504 has 72 divisors (see below), whose sum is σ = 106673112. Its totient is φ = 12030720.

The previous prime is 36801497. The next prime is 36801511. The reversal of 36801504 is 40510863.

It is an interprime number because it is at equal distance from previous prime (36801497) and next prime (36801511).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14059 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (1481571).

Almost surely, 2^36801504 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 36801504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53336556).

36801504 is an abundant number, since it is smaller than the sum of its proper divisors (69871608).

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

36801504 is a wasteful number, since it uses less digits than its factorization.

36801504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36801504 is about 6066.4243175037. The cubic root of 36801504 is about 332.6252310609.

It can be divided in two parts, 3680 and 1504, that added together give a square (5184 = 72²).

The spelling of 36801504 in words is "thirty-six million, eight hundred one thousand, five hundred four".