37868879338000 has 160 divisors (see below), whose sum is σ = 92441655757152. Its totient is φ = 15003039744000.

The previous prime is 37868879337983. The next prime is 37868879338001. The reversal of 37868879338000 is 83397886873.

It can be written as a sum of positive squares in 16 ways, for example, as 14850109645056 + 23018769692944 = 3853584^2 + 4797788^2 .

It is not an unprimeable number, because it can be changed into a prime (37868879338001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 328320340 + ... + 328435660.

Almost surely, 2^{37868879338000} 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 37868879338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46220827878576).

37868879338000 is an abundant number, since it is smaller than the sum of its proper divisors (54572776419152).

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

37868879338000 is a wasteful number, since it uses less digits than its factorization.

37868879338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116910 (or 116894 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 70.

The spelling of 37868879338000 in words is "thirty-seven trillion, eight hundred sixty-eight billion, eight hundred seventy-nine million, three hundred thirty-eight thousand".