37820473344 has 224 divisors, whose sum is σ = 113490938880. Its totient is φ = 12600852480.

The previous prime is 37820473331. The next prime is 37820473357. The reversal of 37820473344 is 44337402873.

37820473344 is a `hidden beast` number, since 37 + 8 + 204 + 73 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (37820473331) and next prime (37820473357).

It is a self number, because there is not a number n which added to its sum of digits gives 37820473344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17914849 + ... + 17916959.

Almost surely, 2^37820473344 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 37820473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56745469440).

37820473344 is an abundant number, since it is smaller than the sum of its proper divisors (75670465536).

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

37820473344 is an frugal number, since it uses more digits than its factorization.

37820473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 37820473344 in words is "thirty-seven billion, eight hundred twenty million, four hundred seventy-three thousand, three hundred forty-four".