36129900 has 72 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 9512000.

The previous prime is 36129893. The next prime is 36129923. The reversal of 36129900 is 992163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24175 + ... + 25625.

It is an arithmetic number, because the mean of its divisors is an integer number (1470392).

Almost surely, 2^36129900 is an apocalyptic number.

36129900 is a gapful number since it is divisible by the number (30) 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 36129900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

36129900 is an abundant number, since it is smaller than the sum of its proper divisors (69738324).

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

36129900 is a wasteful number, since it uses less digits than its factorization.

36129900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 36129900 is about 6010.8152525261. The cubic root of 36129900 is about 330.5893966353.

The spelling of 36129900 in words is "thirty-six million, one hundred twenty-nine thousand, nine hundred".