38900038075008 has 384 divisors, whose sum is σ = 122527303050240. Its totient is φ = 10836459110400.

The previous prime is 38900038074959. The next prime is 38900038075009. The reversal of 38900038075008 is 80057083000983.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (38900038075009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52121113 + ... + 52862183.

It is an arithmetic number, because the mean of its divisors is an integer number (319081518360).

Almost surely, 2^{38900038075008} 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 38900038075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61263651525120).

38900038075008 is an abundant number, since it is smaller than the sum of its proper divisors (83627264975232).

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

38900038075008 is a wasteful number, since it uses less digits than its factorization.

38900038075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741176 (or 741147 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 38900038075008 in words is "thirty-eight trillion, nine hundred billion, thirty-eight million, seventy-five thousand, eight".