37128942 has 48 divisors (see below), whose sum is σ = 84035952. Its totient is φ = 12286080.

The previous prime is 37128941. The next prime is 37128947. The reversal of 37128942 is 24982173.

37128942 is a `hidden beast` number, since 371 + 289 + 4 + 2 = 666.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 37128897 and 37128906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37128941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116968 + ... + 117284.

It is an arithmetic number, because the mean of its divisors is an integer number (1750749).

Almost surely, 2^37128942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37128942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42017976).

37128942 is an abundant number, since it is smaller than the sum of its proper divisors (46907010).

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

37128942 is a wasteful number, since it uses less digits than its factorization.

37128942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 37128942 is about 6093.3522793287. The cubic root of 37128942 is about 333.6088204800.

The spelling of 37128942 in words is "thirty-seven million, one hundred twenty-eight thousand, nine hundred forty-two".