36334100 has 144 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 11827200.

The previous prime is 36334069. The next prime is 36334141. The reversal of 36334100 is 143363.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542267 + ... + 542333.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^36334100 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 36334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

36334100 is an abundant number, since it is smaller than the sum of its proper divisors (59284780).

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

36334100 is a wasteful number, since it uses less digits than its factorization.

36334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 36334100 is about 6027.7773681515. Note that the first 3 decimals coincide. The cubic root of 36334100 is about 331.2110384934.

Adding to 36334100 its reverse (143363), we get a palindrome (36477463).

The spelling of 36334100 in words is "thirty-six million, three hundred thirty-four thousand, one hundred".