37852188983728 has 160 divisors (see below), whose sum is σ = 90458423861760. Its totient is φ = 14973722849280.

The previous prime is 37852188983723. The next prime is 37852188983731. The reversal of 37852188983728 is 82738988125873.

It is a super-2 number, since 2×37852188983728² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37852188983723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243221043 + ... + 243376621.

It is an arithmetic number, because the mean of its divisors is an integer number (565365149136).

Almost surely, 2^{37852188983728} 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 37852188983728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45229211930880).

37852188983728 is an abundant number, since it is smaller than the sum of its proper divisors (52606234878032).

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

37852188983728 is a wasteful number, since it uses less digits than its factorization.

37852188983728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158075 (or 158069 counting only the distinct ones).

The product of its digits is 2601123840, while the sum is 79.

The spelling of 37852188983728 in words is "thirty-seven trillion, eight hundred fifty-two billion, one hundred eighty-eight million, nine hundred eighty-three thousand, seven hundred twenty-eight".