38978353008 has 240 divisors, whose sum is σ = 130460578560. Its totient is φ = 11110006656.

The previous prime is 38978352991. The next prime is 38978353033. The reversal of 38978353008 is 80035387983.

38978353008 is a `hidden beast` number, since 38 + 9 + 78 + 3 + 530 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9883485 + ... + 9887427.

It is an arithmetic number, because the mean of its divisors is an integer number (543585744).

Almost surely, 2^38978353008 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 38978353008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65230289280).

38978353008 is an abundant number, since it is smaller than the sum of its proper divisors (91482225552).

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

38978353008 is a wasteful number, since it uses less digits than its factorization.

38978353008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38978353008 in words is "thirty-eight billion, nine hundred seventy-eight million, three hundred fifty-three thousand, eight".