38926374052608 has 2160 divisors, whose sum is σ = 144820018151424. Its totient is φ = 10350196899840.

The previous prime is 38926374052547. The next prime is 38926374052613. The reversal of 38926374052608 is 80625047362983.

It is a happy number.

38926374052608 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 63 + 7 + 40 + 526 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 148009026685 + ... + 148009026947.

Almost surely, 2^{38926374052608} 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 38926374052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72410009075712).

38926374052608 is an abundant number, since it is smaller than the sum of its proper divisors (105893644098816).

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

38926374052608 is a wasteful number, since it uses less digits than its factorization.

38926374052608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 38926374052608 in words is "thirty-eight trillion, nine hundred twenty-six billion, three hundred seventy-four million, fifty-two thousand, six hundred eight".