36886752 has 240 divisors, whose sum is σ = 131725440. Its totient is φ = 9891072.

The previous prime is 36886723. The next prime is 36886763. The reversal of 36886752 is 25768863.

It is a junction number, because it is equal to n+sod(n) for n = 36886698 and 36886707.

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 39 ways as a sum of consecutive naturals, for example, 344683 + ... + 344789.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^36886752 is an apocalyptic number.

36886752 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 36886752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

36886752 is an abundant number, since it is smaller than the sum of its proper divisors (94838688).

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

36886752 is a wasteful number, since it uses less digits than its factorization.

36886752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36886752 is about 6073.4464680279. The cubic root of 36886752 is about 332.8818670328.

It can be divided in two parts, 3688 and 6752, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 36886752 in words is "thirty-six million, eight hundred eighty-six thousand, seven hundred fifty-two".