36129744 has 120 divisors (see below), whose sum is σ = 117379392. Its totient is φ = 10160640.

The previous prime is 36129721. The next prime is 36129749. The reversal of 36129744 is 44792163.

36129744 is a `hidden beast` number, since 361 + 297 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36288) is a multiple of the sum of its prime divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 36129699 and 36129708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36129749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73339 + ... + 73829.

Almost surely, 2^36129744 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 36129744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58689696).

36129744 is an abundant number, since it is smaller than the sum of its proper divisors (81249648).

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

36129744 is a wasteful number, since it uses less digits than its factorization.

36129744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

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

The square root of 36129744 is about 6010.8022759029. The cubic root of 36129744 is about 330.5889208334.

The spelling of 36129744 in words is "thirty-six million, one hundred twenty-nine thousand, seven hundred forty-four".