37827443104 has 96 divisors (see below), whose sum is σ = 86244129216. Its totient is φ = 16141086720.

The previous prime is 37827443063. The next prime is 37827443111. The reversal of 37827443104 is 40134472873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367687 + ... + 2383609.

It is an arithmetic number, because the mean of its divisors is an integer number (898376346).

Almost surely, 2^37827443104 is an apocalyptic number.

37827443104 is a gapful number since it is divisible by the number (34) 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 37827443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122064608).

37827443104 is an abundant number, since it is smaller than the sum of its proper divisors (48416686112).

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

37827443104 is a wasteful number, since it uses less digits than its factorization.

37827443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16358 (or 16350 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 37827443104 in words is "thirty-seven billion, eight hundred twenty-seven million, four hundred forty-three thousand, one hundred four".