38978319744 has 768 divisors, whose sum is σ = 146706094080. Its totient is φ = 10026934272.

The previous prime is 38978319701. The next prime is 38978319817. The reversal of 38978319744 is 44791387983.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133031662 + ... + 133031954.

It is an arithmetic number, because the mean of its divisors is an integer number (191023560).

Almost surely, 2^38978319744 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 38978319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73353047040).

38978319744 is an abundant number, since it is smaller than the sum of its proper divisors (107727774336).

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

38978319744 is a wasteful number, since it uses less digits than its factorization.

38978319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 38978319744 in words is "thirty-eight billion, nine hundred seventy-eight million, three hundred nineteen thousand, seven hundred forty-four".