38947950720 has 384 divisors, whose sum is σ = 154045981440. Its totient is φ = 8882675712.

The previous prime is 38947950709. The next prime is 38947950721. The reversal of 38947950720 is 2705974983.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (38947950721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26086294 + ... + 26087786.

It is an arithmetic number, because the mean of its divisors is an integer number (401161410).

Almost surely, 2^38947950720 is an apocalyptic number.

38947950720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38947950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77022990720).

38947950720 is an abundant number, since it is smaller than the sum of its proper divisors (115098030720).

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

38947950720 is a wasteful number, since it uses less digits than its factorization.

38947950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 38947950720 in words is "thirty-eight billion, nine hundred forty-seven million, nine hundred fifty thousand, seven hundred twenty".