36129348 has 48 divisors (see below), whose sum is σ = 95085760. Its totient is φ = 11860992.

The previous prime is 36129347. The next prime is 36129361. The reversal of 36129348 is 84392163.

36129348 is a `hidden beast` number, since 3 + 612 + 9 + 34 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36129347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4740 + ... + 9732.

Almost surely, 2^36129348 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 36129348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47542880).

36129348 is an abundant number, since it is smaller than the sum of its proper divisors (58956412).

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

36129348 is a wasteful number, since it uses less digits than its factorization.

36129348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5065 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36129348 is about 6010.7693351184. The cubic root of 36129348 is about 330.5877130226.

The spelling of 36129348 in words is "thirty-six million, one hundred twenty-nine thousand, three hundred forty-eight".