37082852352 has 880 divisors, whose sum is σ = 144807727680. Its totient is φ = 9204793344.

The previous prime is 37082852347. The next prime is 37082852371. The reversal of 37082852352 is 25325828073.

37082852352 is a `hidden beast` number, since 3 + 70 + 8 + 2 + 8 + 523 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 37082852298 and 37082852307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2181344248 + ... + 2181344264.

It is an arithmetic number, because the mean of its divisors is an integer number (164554236).

Almost surely, 2^37082852352 is an apocalyptic number.

37082852352 is a gapful number since it is divisible by the number (32) 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 37082852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72403863840).

37082852352 is an abundant number, since it is smaller than the sum of its proper divisors (107724875328).

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

37082852352 is an equidigital number, since it uses as much as digits as its factorization.

37082852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 37082852352 in words is "thirty-seven billion, eighty-two million, eight hundred fifty-two thousand, three hundred fifty-two".