38432476256064 has 448 divisors, whose sum is σ = 113512053473280. Its totient is φ = 11378734848000.

The previous prime is 38432476256051. The next prime is 38432476256107. The reversal of 38432476256064 is 46065267423483.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38432476255989 and 38432476256007.

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 63 ways as a sum of consecutive naturals, for example, 8371262409 + ... + 8371266999.

It is an arithmetic number, because the mean of its divisors is an integer number (253375119360).

Almost surely, 2^{38432476256064} 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 38432476256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56756026736640).

38432476256064 is an abundant number, since it is smaller than the sum of its proper divisors (75079577217216).

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

38432476256064 is a wasteful number, since it uses less digits than its factorization.

38432476256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 60.

The spelling of 38432476256064 in words is "thirty-eight trillion, four hundred thirty-two billion, four hundred seventy-six million, two hundred fifty-six thousand, sixty-four".