38608303968 has 240 divisors, whose sum is σ = 129475130400. Its totient is φ = 11180519424.

The previous prime is 38608303967. The next prime is 38608303973. The reversal of 38608303968 is 86930380683.

It is a super-3 number, since 3×38608303968³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38608303961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539133 + ... + 606531.

It is an arithmetic number, because the mean of its divisors is an integer number (539479710).

Almost surely, 2^38608303968 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 38608303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64737565200).

38608303968 is an abundant number, since it is smaller than the sum of its proper divisors (90866826432).

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

38608303968 is a wasteful number, since it uses less digits than its factorization.

38608303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67451 (or 67434 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38608303968 in words is "thirty-eight billion, six hundred eight million, three hundred three thousand, nine hundred sixty-eight".