36810752 has 104 divisors (see below), whose sum is σ = 86496960. Its totient is φ = 15482880.

The previous prime is 36810751. The next prime is 36810757. The reversal of 36810752 is 25701863.

It is a happy number.

It is a super-4 number, since 4×36810752⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36810751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856043 + ... + 856085.

Almost surely, 2^36810752 is an apocalyptic number.

36810752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43248480).

36810752 is an abundant number, since it is smaller than the sum of its proper divisors (49686208).

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

36810752 is a wasteful number, since it uses less digits than its factorization.

36810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 36810752 is about 6067.1864978753. The cubic root of 36810752 is about 332.6530909775.

Subtracting from 36810752 its reverse (25701863), we obtain a square (11108889 = 3333²).

The spelling of 36810752 in words is "thirty-six million, eight hundred ten thousand, seven hundred fifty-two".