938313652477320 has 1024 divisors, whose sum is σ = 3800746665216000. Its totient is φ = 201006696628224.

The previous prime is 938313652477297. The next prime is 938313652477339. The reversal of 938313652477320 is 23774256313839.

It is a happy number.

938313652477320 is a `hidden beast` number, since 9 + 3 + 8 + 3 + 1 + 3 + 6 + 524 + 77 + 32 + 0 = 666.

938313652477320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×938313652477320² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30329804892 + ... + 30329835828.

It is an arithmetic number, because the mean of its divisors is an integer number (3711666665250).

It is a 3-persistent number, because k⋅938313652477320 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{938313652477320} is an apocalyptic number.

938313652477320 is a gapful number since it is divisible by the number (90) 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 938313652477320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900373332608000).

938313652477320 is an abundant number, since it is smaller than the sum of its proper divisors (2862433012738680).

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

938313652477320 is a wasteful number, since it uses less digits than its factorization.

938313652477320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31967 (or 31957 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 938313652477320 in words is "nine hundred thirty-eight trillion, three hundred thirteen billion, six hundred fifty-two million, four hundred seventy-seven thousand, three hundred twenty".