38507781312 has 1344 divisors, whose sum is σ = 159763968000. Its totient is φ = 8724602880.

The previous prime is 38507781311. The next prime is 38507781329. The reversal of 38507781312 is 21318770583.

38507781312 is a `hidden beast` number, since 3 + 8 + 507 + 7 + 8 + 131 + 2 = 666.

38507781312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38507781311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 819314473 + ... + 819314519.

It is an arithmetic number, because the mean of its divisors is an integer number (118872000).

Almost surely, 2^38507781312 is an apocalyptic number.

38507781312 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 38507781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984000).

38507781312 is an abundant number, since it is smaller than the sum of its proper divisors (121256186688).

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

38507781312 is a wasteful number, since it uses less digits than its factorization.

38507781312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 38507781312 in words is "thirty-eight billion, five hundred seven million, seven hundred eighty-one thousand, three hundred twelve".