37984997268 has 144 divisors (see below), whose sum is σ = 107738663760. Its totient is φ = 11225088000.

The previous prime is 37984997263. The next prime is 37984997293. The reversal of 37984997268 is 86279948973.

37984997268 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 499 + 72 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 198302724 + 37786694544 = 14082^2 + 194388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 37984997196 and 37984997205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37984997263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701568 + ... + 753768.

It is an arithmetic number, because the mean of its divisors is an integer number (748185165).

Almost surely, 2^37984997268 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 37984997268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53869331880).

37984997268 is an abundant number, since it is smaller than the sum of its proper divisors (69753666492).

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

37984997268 is a wasteful number, since it uses less digits than its factorization.

37984997268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52298 (or 52293 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 37984997268 in words is "thirty-seven billion, nine hundred eighty-four million, nine hundred ninety-seven thousand, two hundred sixty-eight".