36938048 has 56 divisors (see below), whose sum is σ = 85856064. Its totient is φ = 15436800.

The previous prime is 36938047. The next prime is 36938051. The reversal of 36938048 is 84083963.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 36937996 and 36938014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36938047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17363 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (1533144).

Almost surely, 2^36938048 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 36938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928032).

36938048 is an abundant number, since it is smaller than the sum of its proper divisors (48918016).

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

36938048 is a wasteful number, since it uses less digits than its factorization.

36938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 36938048 is about 6077.6679738202. The cubic root of 36938048 is about 333.0361012603.

The spelling of 36938048 in words is "thirty-six million, nine hundred thirty-eight thousand, forty-eight".