38395487906496 has 672 divisors, whose sum is σ = 134721498562560. Its totient is φ = 10609966310400.

The previous prime is 38395487906473. The next prime is 38395487906521. The reversal of 38395487906496 is 69460978459383.

38395487906496 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 5 + 487 + 90 + 6 + 49 + 6 = 666.

38395487906496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10998419311 + ... + 10998422801.

It is an arithmetic number, because the mean of its divisors is an integer number (200478420480).

Almost surely, 2^{38395487906496} is an apocalyptic number.

38395487906496 is a gapful number since it is divisible by the number (36) 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 38395487906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67360749281280).

38395487906496 is an abundant number, since it is smaller than the sum of its proper divisors (96326010656064).

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

38395487906496 is a wasteful number, since it uses less digits than its factorization.

38395487906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 38395487906496 in words is "thirty-eight trillion, three hundred ninety-five billion, four hundred eighty-seven million, nine hundred six thousand, four hundred ninety-six".