37842120 has 128 divisors (see below), whose sum is σ = 129686400. Its totient is φ = 9808128.

The previous prime is 37842109. The next prime is 37842121. The reversal of 37842120 is 2124873.

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 (37842121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39487 + ... + 40433.

It is an arithmetic number, because the mean of its divisors is an integer number (1013175).

Almost surely, 2^37842120 is an apocalyptic number.

37842120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64843200).

37842120 is an abundant number, since it is smaller than the sum of its proper divisors (91844280).

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

37842120 is a wasteful number, since it uses less digits than its factorization.

37842120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 37842120 is about 6151.5949151419. The cubic root of 37842120 is about 335.7312902637.

Adding to 37842120 its reverse (2124873), we get a palindrome (39966993).

The spelling of 37842120 in words is "thirty-seven million, eight hundred forty-two thousand, one hundred twenty".