38956772480 has 128 divisors (see below), whose sum is σ = 96898498560. Its totient is φ = 14960332800.

The previous prime is 38956772443. The next prime is 38956772551. The reversal of 38956772480 is 8427765983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511950 + ... + 2527410.

It is an arithmetic number, because the mean of its divisors is an integer number (757019520).

Almost surely, 2^38956772480 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 38956772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48449249280).

38956772480 is an abundant number, since it is smaller than the sum of its proper divisors (57941726080).

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

38956772480 is a wasteful number, since it uses less digits than its factorization.

38956772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15638 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 59.

The spelling of 38956772480 in words is "thirty-eight billion, nine hundred fifty-six million, seven hundred seventy-two thousand, four hundred eighty".