37972663344 has 600 divisors, whose sum is σ = 139567733760. Its totient is φ = 9429868800.

The previous prime is 37972663331. The next prime is 37972663367. The reversal of 37972663344 is 44336627973.

37972663344 is a `hidden beast` number, since 37 + 9 + 7 + 266 + 3 + 344 = 666.

It is a super-2 number, since 2×37972663344² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 457501927 + ... + 457502009.

Almost surely, 2^37972663344 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 37972663344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69783866880).

37972663344 is an abundant number, since it is smaller than the sum of its proper divisors (101595070416).

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

37972663344 is a wasteful number, since it uses less digits than its factorization.

37972663344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 37972663344 in words is "thirty-seven billion, nine hundred seventy-two million, six hundred sixty-three thousand, three hundred forty-four".