37115442 has 144 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 9670752.

The previous prime is 37115431. The next prime is 37115443. The reversal of 37115442 is 24451173.

37115442 is nontrivially palindromic in base 16.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (37115443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447133 + ... + 447215.

It is an arithmetic number, because the mean of its divisors is an integer number (730170).

Almost surely, 2^37115442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37115442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

37115442 is an abundant number, since it is smaller than the sum of its proper divisors (68029038).

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

37115442 is a wasteful number, since it uses less digits than its factorization.

37115442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 37115442 is about 6092.2444140070. The cubic root of 37115442 is about 333.5683824390.

The spelling of 37115442 in words is "thirty-seven million, one hundred fifteen thousand, four hundred forty-two".