37442208 has 48 divisors (see below), whose sum is σ = 99550080. Its totient is φ = 12320256.

The previous prime is 37442201. The next prime is 37442231. The reversal of 37442208 is 80224473.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (37442201) 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 7 ways as a sum of consecutive naturals, for example, 5116 + ... + 10052.

It is an arithmetic number, because the mean of its divisors is an integer number (2073960).

Almost surely, 2^37442208 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 37442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49775040).

37442208 is an abundant number, since it is smaller than the sum of its proper divisors (62107872).

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

37442208 is a wasteful number, since it uses less digits than its factorization.

37442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 37442208 is about 6119.0038404956. The cubic root of 37442208 is about 334.5444405509.

The spelling of 37442208 in words is "thirty-seven million, four hundred forty-two thousand, two hundred eight".