38864703744 has 288 divisors, whose sum is σ = 120795494400. Its totient is φ = 12301977600.

The previous prime is 38864703739. The next prime is 38864703793. The reversal of 38864703744 is 44730746883.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24004567 + ... + 24006185.

It is an arithmetic number, because the mean of its divisors is an integer number (419428800).

Almost surely, 2^38864703744 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 38864703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60397747200).

38864703744 is an abundant number, since it is smaller than the sum of its proper divisors (81930790656).

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

38864703744 is a wasteful number, since it uses less digits than its factorization.

38864703744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 38864703744 in words is "thirty-eight billion, eight hundred sixty-four million, seven hundred three thousand, seven hundred forty-four".