37368768 has 56 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 12378880.

The previous prime is 37368743. The next prime is 37368803. The reversal of 37368768 is 86786373.

It is a Cunningham number, because it is equal to 6113²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 36163 + ... + 37181.

Almost surely, 2^37368768 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 37368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

37368768 is an abundant number, since it is smaller than the sum of its proper divisors (62117952).

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

37368768 is a wasteful number, since it uses less digits than its factorization.

37368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 37368768 is about 6112.9999182071. Note that the first 4 decimals coincide. The cubic root of 37368768 is about 334.3255696926.

The spelling of 37368768 in words is "thirty-seven million, three hundred sixty-eight thousand, seven hundred sixty-eight".