38723800752 has 360 divisors, whose sum is σ = 137647377504. Its totient is φ = 10071226368.

The previous prime is 38723800741. The next prime is 38723800771. The reversal of 38723800752 is 25700832783.

It is a super-3 number, since 3×38723800752³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38723800698 and 38723800707.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6693253 + ... + 6699035.

Almost surely, 2^38723800752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38723800752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68823688752).

38723800752 is an abundant number, since it is smaller than the sum of its proper divisors (98923576752).

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

38723800752 is a wasteful number, since it uses less digits than its factorization.

38723800752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 38723800752 in words is "thirty-eight billion, seven hundred twenty-three million, eight hundred thousand, seven hundred fifty-two".