38941324560 has 320 divisors, whose sum is σ = 140425297920. Its totient is φ = 9906624000.

The previous prime is 38941324559. The next prime is 38941324571. The reversal of 38941324560 is 6542314983.

38941324560 is a `hidden beast` number, since 3 + 89 + 4 + 1 + 3 + 2 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4750065 + ... + 4758255.

It is an arithmetic number, because the mean of its divisors is an integer number (438829056).

Almost surely, 2^38941324560 is an apocalyptic number.

38941324560 is a gapful number since it is divisible by the number (30) 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 38941324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70212648960).

38941324560 is an abundant number, since it is smaller than the sum of its proper divisors (101483973360).

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

38941324560 is a wasteful number, since it uses less digits than its factorization.

38941324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38941324560 in words is "thirty-eight billion, nine hundred forty-one million, three hundred twenty-four thousand, five hundred sixty".