38228988672 has 216 divisors, whose sum is σ = 126388973984. Its totient is φ = 10886234112.

The previous prime is 38228988667. The next prime is 38228988683. The reversal of 38228988672 is 27688982283.

38228988672 is a `hidden beast` number, since 382 + 28 + 98 + 86 + 72 = 666.

It is a super-2 number, since 2×38228988672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5044278 + ... + 5051850.

Almost surely, 2^38228988672 is an apocalyptic number.

38228988672 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 38228988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63194486992).

38228988672 is an abundant number, since it is smaller than the sum of its proper divisors (88159985312).

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

38228988672 is a wasteful number, since it uses less digits than its factorization.

38228988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915 (or 7898 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 38228988672 in words is "thirty-eight billion, two hundred twenty-eight million, nine hundred eighty-eight thousand, six hundred seventy-two".