38680768050400 has 216 divisors, whose sum is σ = 109939147491096. Its totient is φ = 13250788992000.

The previous prime is 38680768050383. The next prime is 38680768050409. The reversal of 38680768050400 is 405086708683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38680768050409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 46114750 + ... + 46946050.

It is an arithmetic number, because the mean of its divisors is an integer number (508977534681).

Almost surely, 2^{38680768050400} 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 38680768050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54969573745548).

38680768050400 is an abundant number, since it is smaller than the sum of its proper divisors (71258379440696).

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

38680768050400 is a wasteful number, since it uses less digits than its factorization.

38680768050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832522 (or 832502 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 38680768050400 in words is "thirty-eight trillion, six hundred eighty billion, seven hundred sixty-eight million, fifty thousand, four hundred".