38264863019328 has 784 divisors, whose sum is σ = 132309759052800. Its totient is φ = 10852547650560.

The previous prime is 38264863019237. The next prime is 38264863019377. The reversal of 38264863019328 is 82391036846283.

It is a happy number.

38264863019328 is a `hidden beast` number, since 3 + 8 + 264 + 8 + 6 + 30 + 19 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 809317993 + ... + 809365271.

Almost surely, 2^{38264863019328} is an apocalyptic number.

38264863019328 is a gapful number since it is divisible by the number (38) 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 38264863019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66154879526400).

38264863019328 is an abundant number, since it is smaller than the sum of its proper divisors (94044896033472).

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

38264863019328 is a wasteful number, since it uses less digits than its factorization.

38264863019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47422 (or 47397 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 38264863019328 in words is "thirty-eight trillion, two hundred sixty-four billion, eight hundred sixty-three million, nineteen thousand, three hundred twenty-eight".