38778933786030 has 256 divisors, whose sum is σ = 106533149184000. Its totient is φ = 10033443883008.

The previous prime is 38778933786029. The next prime is 38778933786041. The reversal of 38778933786030 is 3068733987783.

38778933786030 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 8 + 9 + 3 + 3 + 7 + 8 + 603 + 0 = 666.

38778933786030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38778933786030.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6062046792 + ... + 6062053188.

It is an arithmetic number, because the mean of its divisors is an integer number (416145114000).

Almost surely, 2^{38778933786030} is an apocalyptic number.

38778933786030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38778933786030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53266574592000).

38778933786030 is an abundant number, since it is smaller than the sum of its proper divisors (67754215397970).

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

38778933786030 is a wasteful number, since it uses less digits than its factorization.

38778933786030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 38778933786030 in words is "thirty-eight trillion, seven hundred seventy-eight billion, nine hundred thirty-three million, seven hundred eighty-six thousand, thirty".