38794071983940 has 288 divisors, whose sum is σ = 145209374908416. Its totient is φ = 8163750481920.

The previous prime is 38794071983939. The next prime is 38794071984119. The reversal of 38794071983940 is 4938917049783.

38794071983940 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 40 + 7 + 198 + 394 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3181660 + ... + 9365420.

It is an arithmetic number, because the mean of its divisors is an integer number (504199218432).

Almost surely, 2^{38794071983940} is an apocalyptic number.

38794071983940 is a gapful number since it is divisible by the number (30) 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 38794071983940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72604687454208).

38794071983940 is an abundant number, since it is smaller than the sum of its proper divisors (106415302924476).

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

38794071983940 is a wasteful number, since it uses less digits than its factorization.

38794071983940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184179 (or 6184174 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 38794071983940 in words is "thirty-eight trillion, seven hundred ninety-four billion, seventy-one million, nine hundred eighty-three thousand, nine hundred forty".