37885945384336 has 405 divisors, whose sum is σ = 92560265457219. Its totient is φ = 14975642271744.

The previous prime is 37885945384333. The next prime is 37885945384349. The reversal of 37885945384336 is 63348354958873.

The square root of 37885945384336 is 6155156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23090625936 + 37862854758400 = 151956^2 + 6153280^2 .

Its product of digits (6270566400) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (37885945384333) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 196300235056 + ... + 196300235248.

Almost surely, 2^{37885945384336} is an apocalyptic number.

37885945384336 is the 6155156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37885945384336

37885945384336 is an abundant number, since it is smaller than the sum of its proper divisors (54674320072883).

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

37885945384336 is an equidigital number, since it uses as much as digits as its factorization.

37885945384336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 286 counting only the distinct ones).

The product of its digits is 6270566400, while the sum is 76.

The spelling of 37885945384336 in words is "thirty-seven trillion, eight hundred eighty-five billion, nine hundred forty-five million, three hundred eighty-four thousand, three hundred thirty-six".