38288959967232 has 1040 divisors, whose sum is σ = 130041692088000. Its totient is φ = 11128499601408.

The previous prime is 38288959967231. The next prime is 38288959967257. The reversal of 38288959967232 is 23276995988283.

38288959967232 is a `hidden beast` number, since 3 + 82 + 88 + 95 + 99 + 67 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (38288959967231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54004174494 + ... + 54004175202.

Almost surely, 2^{38288959967232} is an apocalyptic number.

38288959967232 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 38288959967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65020846044000).

38288959967232 is an abundant number, since it is smaller than the sum of its proper divisors (91752732120768).

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

38288959967232 is a wasteful number, since it uses less digits than its factorization.

38288959967232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1405 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 38288959967232 in words is "thirty-eight trillion, two hundred eighty-eight billion, nine hundred fifty-nine million, nine hundred sixty-seven thousand, two hundred thirty-two".