36938112 has 128 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 11397120.

The previous prime is 36938101. The next prime is 36938129. The reversal of 36938112 is 21183963.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345163 + ... + 345269.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^36938112 is an apocalyptic number.

36938112 is a gapful number since it is divisible by the number (32) 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 36938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

36938112 is an abundant number, since it is smaller than the sum of its proper divisors (68815488).

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

36938112 is a wasteful number, since it uses less digits than its factorization.

36938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 36938112 is about 6077.6732389953. The cubic root of 36938112 is about 333.0362936030.

The spelling of 36938112 in words is "thirty-six million, nine hundred thirty-eight thousand, one hundred twelve".