38810314752 has 192 divisors, whose sum is σ = 113652564480. Its totient is φ = 11679744000.

The previous prime is 38810314729. The next prime is 38810314759. The reversal of 38810314752 is 25741301883.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38810314752² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38810314759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10203283 + ... + 10207085.

It is an arithmetic number, because the mean of its divisors is an integer number (591940440).

Almost surely, 2^38810314752 is an apocalyptic number.

38810314752 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 38810314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56826282240).

38810314752 is an abundant number, since it is smaller than the sum of its proper divisors (74842249728).

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

38810314752 is a wasteful number, since it uses less digits than its factorization.

38810314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 38810314752 in words is "thirty-eight billion, eight hundred ten million, three hundred fourteen thousand, seven hundred fifty-two".