38998432368 has 560 divisors, whose sum is σ = 142341127680. Its totient is φ = 10087773696.

The previous prime is 38998432331. The next prime is 38998432381. The reversal of 38998432368 is 86323489983.

38998432368 is a `hidden beast` number, since 3 + 89 + 98 + 432 + 36 + 8 = 666.

It is a super-2 number, since 2×38998432368² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35679630 + ... + 35680722.

Almost surely, 2^38998432368 is an apocalyptic number.

38998432368 is a gapful number since it is divisible by the number (38) 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 38998432368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71170563840).

38998432368 is an abundant number, since it is smaller than the sum of its proper divisors (103342695312).

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

38998432368 is a wasteful number, since it uses less digits than its factorization.

38998432368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1147 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 38998432368 in words is "thirty-eight billion, nine hundred ninety-eight million, four hundred thirty-two thousand, three hundred sixty-eight".