37738412712 has 1152 divisors, whose sum is σ = 152970854400. Its totient is φ = 8230118400.

The previous prime is 37738412707. The next prime is 37738412717. The reversal of 37738412712 is 21721483773.

37738412712 is a `hidden beast` number, since 377 + 3 + 8 + 4 + 1 + 271 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (37738412707) and next prime (37738412717).

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

It is not an unprimeable number, because it can be changed into a prime (37738412717) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 297152793 + ... + 297152919.

It is an arithmetic number, because the mean of its divisors is an integer number (132787200).

Almost surely, 2^37738412712 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 37738412712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76485427200).

37738412712 is an abundant number, since it is smaller than the sum of its proper divisors (115232441688).

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

37738412712 is a wasteful number, since it uses less digits than its factorization.

37738412712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 37738412712 in words is "thirty-seven billion, seven hundred thirty-eight million, four hundred twelve thousand, seven hundred twelve".