37842723902736 has 225 divisors, whose sum is σ = 110630286916149. Its totient is φ = 12488526304128.

The previous prime is 37842723902717. The next prime is 37842723902741. The reversal of 37842723902736 is 63720932724873.

It is a happy number.

The square root of 37842723902736 is 6151644.

It is a perfect power (a square), and thus also a powerful number.

37842723902736 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 272 + 3 + 90 + 273 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7585507472400 + 30257216430336 = 2754180^2 + 5500656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23696131890 + ... + 23696133486.

Almost surely, 2^{37842723902736} is an apocalyptic number.

37842723902736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37842723902736 is the 6151644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37842723902736

37842723902736 is an abundant number, since it is smaller than the sum of its proper divisors (72787563013413).

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

37842723902736 is an frugal number, since it uses more digits than its factorization.

37842723902736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 37842723902736 in words is "thirty-seven trillion, eight hundred forty-two billion, seven hundred twenty-three million, nine hundred two thousand, seven hundred thirty-six".