36942048 has 288 divisors, whose sum is σ = 132814080. Its totient is φ = 9884160.

The previous prime is 36942043. The next prime is 36942067. The reversal of 36942048 is 84024963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36942043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1606165 + ... + 1606187.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 2^36942048 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 36942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

36942048 is an abundant number, since it is smaller than the sum of its proper divisors (95872032).

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

36942048 is a wasteful number, since it uses less digits than its factorization.

36942048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36942048 is about 6077.9970384988. The cubic root of 36942048 is about 333.0481222557.

Adding to 36942048 its sum of digits (36), we get a square (36942084 = 6078²).

The spelling of 36942048 in words is "thirty-six million, nine hundred forty-two thousand, forty-eight".