37885346112852 has 216 divisors, whose sum is σ = 112087317101760. Its totient is φ = 10569229816320.

The previous prime is 37885346112839. The next prime is 37885346112979. The reversal of 37885346112852 is 25821164358873.

37885346112852 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 5 + 3 + 4 + 611 + 2 + 8 + 5 + 2 = 666.

37885346112852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 37885346112852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1663888924 + ... + 1663911692.

It is an arithmetic number, because the mean of its divisors is an integer number (518922764360).

Almost surely, 2^{37885346112852} 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 37885346112852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56043658550880).

37885346112852 is an abundant number, since it is smaller than the sum of its proper divisors (74201970988908).

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

37885346112852 is a wasteful number, since it uses less digits than its factorization.

37885346112852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26443 (or 26395 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 37885346112852 in words is "thirty-seven trillion, eight hundred eighty-five billion, three hundred forty-six million, one hundred twelve thousand, eight hundred fifty-two".