38939735428776 has 512 divisors, whose sum is σ = 137809929600000. Its totient is φ = 9909062553600.

The previous prime is 38939735428721. The next prime is 38939735428787. The reversal of 38939735428776 is 67782453793983.

38939735428776 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 97 + 35 + 428 + 7 + 76 = 666.

It is a super-3 number, since 3×38939735428776³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38939735428695 and 38939735428704.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 882945126 + ... + 882989226.

It is an arithmetic number, because the mean of its divisors is an integer number (269160018750).

Almost surely, 2^{38939735428776} is an apocalyptic number.

38939735428776 is a gapful number since it is divisible by the number (36) 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 38939735428776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68904964800000).

38939735428776 is an abundant number, since it is smaller than the sum of its proper divisors (98870194171224).

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

38939735428776 is a wasteful number, since it uses less digits than its factorization.

38939735428776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45714 (or 45704 counting only the distinct ones).

The product of its digits is 11522165760, while the sum is 81.

The spelling of 38939735428776 in words is "thirty-eight trillion, nine hundred thirty-nine billion, seven hundred thirty-five million, four hundred twenty-eight thousand, seven hundred seventy-six".