38754239160 has 1024 divisors, whose sum is σ = 157925376000. Its totient is φ = 7540549632.

The previous prime is 38754239141. The next prime is 38754239177. The reversal of 38754239160 is 6193245783.

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 255 ways as a sum of consecutive naturals, for example, 578421447 + ... + 578421513.

It is an arithmetic number, because the mean of its divisors is an integer number (154224000).

It is a 1-persistent number, because it is pandigital, but 2⋅38754239160 = 77508478320 is not.

Almost surely, 2^38754239160 is an apocalyptic number.

38754239160 is a gapful number since it is divisible by the number (30) 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 38754239160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962688000).

38754239160 is an abundant number, since it is smaller than the sum of its proper divisors (119171136840).

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

38754239160 is a wasteful number, since it uses less digits than its factorization.

38754239160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 38754239160 in words is "thirty-eight billion, seven hundred fifty-four million, two hundred thirty-nine thousand, one hundred sixty".