38391229012864 has 512 divisors, whose sum is σ = 101130475622400. Its totient is φ = 14086101270528.

The previous prime is 38391229012841. The next prime is 38391229012883. The reversal of 38391229012864 is 46821092219383.

It is a junction number, because it is equal to n+sod(n) for n = 38391229012799 and 38391229012808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4590600747 + ... + 4590609109.

It is an arithmetic number, because the mean of its divisors is an integer number (197520460200).

Almost surely, 2^{38391229012864} is an apocalyptic number.

38391229012864 is a gapful number since it is divisible by the number (34) 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 38391229012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50565237811200).

38391229012864 is an abundant number, since it is smaller than the sum of its proper divisors (62739246609536).

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

38391229012864 is a wasteful number, since it uses less digits than its factorization.

38391229012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 38391229012864 in words is "thirty-eight trillion, three hundred ninety-one billion, two hundred twenty-nine million, twelve thousand, eight hundred sixty-four".