38745350784 has 192 divisors, whose sum is σ = 132141522240. Its totient is φ = 11070038016.

The previous prime is 38745350779. The next prime is 38745350789. The reversal of 38745350784 is 48705354783.

It is a happy number.

38745350784 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 53 + 507 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (38745350779) and next prime (38745350789).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38745350784.

It is not an unprimeable number, because it can be changed into a prime (38745350789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128752 + ... + 306704.

It is an arithmetic number, because the mean of its divisors is an integer number (688237095).

Almost surely, 2^38745350784 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 38745350784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66070761120).

38745350784 is an abundant number, since it is smaller than the sum of its proper divisors (93396171456).

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

38745350784 is an equidigital number, since it uses as much as digits as its factorization.

38745350784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177989 (or 177965 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 38745350784 in words is "thirty-eight billion, seven hundred forty-five million, three hundred fifty thousand, seven hundred eighty-four".