37972219872384 has 2048 divisors, whose sum is σ = 141741785088000. Its totient is φ = 9771632640000.

The previous prime is 37972219872337. The next prime is 37972219872421. The reversal of 37972219872384 is 48327891227973.

37972219872384 is a `hidden beast` number, since 3 + 7 + 9 + 72 + 21 + 98 + 72 + 384 = 666.

It is a super-3 number, since 3×37972219872384³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 158879580937 + ... + 158879581175.

It is an arithmetic number, because the mean of its divisors is an integer number (69209856000).

Almost surely, 2^{37972219872384} 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 37972219872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870892544000).

37972219872384 is an abundant number, since it is smaller than the sum of its proper divisors (103769565215616).

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

37972219872384 is a wasteful number, since it uses less digits than its factorization.

37972219872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 37972219872384 in words is "thirty-seven trillion, nine hundred seventy-two billion, two hundred nineteen million, eight hundred seventy-two thousand, three hundred eighty-four".