36852880 has 40 divisors (see below), whose sum is σ = 86550264. Its totient is φ = 14592000.

The previous prime is 36852857. The next prime is 36852883. The reversal of 36852880 is 8825863.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 27415696 = 3072^2 + 5236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36852883) 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, 5800 + ... + 10360.

Almost surely, 2^36852880 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 36852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43275132).

36852880 is an abundant number, since it is smaller than the sum of its proper divisors (49697384).

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

36852880 is a wasteful number, since it uses less digits than its factorization.

36852880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 36852880 is about 6070.6572955488. The cubic root of 36852880 is about 332.7799440114.

The spelling of 36852880 in words is "thirty-six million, eight hundred fifty-two thousand, eight hundred eighty".