37279242 has 96 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 8933760.

The previous prime is 37279223. The next prime is 37279247. The reversal of 37279242 is 24297273.

It is a junction number, because it is equal to n+sod(n) for n = 37279197 and 37279206.

It is not an unprimeable number, because it can be changed into a prime (37279247) 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, 16984 + ... + 19052.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 2^37279242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37279242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

37279242 is an abundant number, since it is smaller than the sum of its proper divisors (71221878).

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

37279242 is a wasteful number, since it uses less digits than its factorization.

37279242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2105 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 37279242 is about 6105.6729358851. The cubic root of 37279242 is about 334.0583700441.

The spelling of 37279242 in words is "thirty-seven million, two hundred seventy-nine thousand, two hundred forty-two".