36838100 has 72 divisors (see below), whose sum is σ = 88223520. Its totient is φ = 13265280.

The previous prime is 36838097. The next prime is 36838121. The reversal of 36838100 is 183863.

It is a super-2 number, since 2×36838100² = 2714091223220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55571 + ... + 56229.

Almost surely, 2^36838100 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 36838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44111760).

36838100 is an abundant number, since it is smaller than the sum of its proper divisors (51385420).

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

36838100 is a wasteful number, since it uses less digits than its factorization.

36838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 36838100 is about 6069.4398423578. The cubic root of 36838100 is about 332.7354504716.

The spelling of 36838100 in words is "thirty-six million, eight hundred thirty-eight thousand, one hundred".