37849055956992 has 624 divisors, whose sum is σ = 132900990641280. Its totient is φ = 10609897439232.

The previous prime is 37849055956991. The next prime is 37849055957017. The reversal of 37849055956992 is 29965955094873.

37849055956992 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 9 + 0 + 559 + 56 + 9 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (37849055956991) 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, 287141533 + ... + 287273315.

Almost surely, 2^{37849055956992} is an apocalyptic number.

37849055956992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37849055956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66450495320640).

37849055956992 is an abundant number, since it is smaller than the sum of its proper divisors (95051934684288).

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

37849055956992 is a wasteful number, since it uses less digits than its factorization.

37849055956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131883 (or 131848 counting only the distinct ones).

The product of its (nonzero) digits is 6613488000, while the sum is 81.

It can be divided in two parts, 378 and 49055956992, that multiplied together give a square (18543151742976 = 4306176²).

The spelling of 37849055956992 in words is "thirty-seven trillion, eight hundred forty-nine billion, fifty-five million, nine hundred fifty-six thousand, nine hundred ninety-two".