36683712 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 10644480.

The previous prime is 36683711. The next prime is 36683719. The reversal of 36683712 is 21738663.

It is a happy number.

It is a super-3 number, since 3×36683712³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36683711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516637 + ... + 516707.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^36683712 is an apocalyptic number.

36683712 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 36683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

36683712 is an abundant number, since it is smaller than the sum of its proper divisors (86211648).

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

36683712 is a wasteful number, since it uses less digits than its factorization.

36683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36683712 is about 6056.7080167365. The cubic root of 36683712 is about 332.2699696021.

It can be divided in two parts, 366837 and 12, that multiplied together give a palindrome (4402044).

The spelling of 36683712 in words is "thirty-six million, six hundred eighty-three thousand, seven hundred twelve".