38460344832 has 960 divisors, whose sum is σ = 146803937280. Its totient is φ = 9782083584.

The previous prime is 38460344807. The next prime is 38460344837. The reversal of 38460344832 is 23844306483.

38460344832 is a `hidden beast` number, since 3 + 8 + 4 + 603 + 4 + 4 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (38460344837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486839769 + ... + 486839847.

It is an arithmetic number, because the mean of its divisors is an integer number (152920768).

Almost surely, 2^38460344832 is an apocalyptic number.

38460344832 is a gapful number since it is divisible by the number (32) 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 38460344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401968640).

38460344832 is an abundant number, since it is smaller than the sum of its proper divisors (108343592448).

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

38460344832 is an equidigital number, since it uses as much as digits as its factorization.

38460344832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 38460344832 in words is "thirty-eight billion, four hundred sixty million, three hundred forty-four thousand, eight hundred thirty-two".