38461071360 has 448 divisors, whose sum is σ = 130791386880. Its totient is φ = 9633792000.

The previous prime is 38461071353. The next prime is 38461071391. The reversal of 38461071360 is 6317016483.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 153231235 + ... + 153231485.

It is an arithmetic number, because the mean of its divisors is an integer number (291945060).

Almost surely, 2^38461071360 is an apocalyptic number.

38461071360 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 38461071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65395693440).

38461071360 is an abundant number, since it is smaller than the sum of its proper divisors (92330315520).

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

38461071360 is a wasteful number, since it uses less digits than its factorization.

38461071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 38461071360 in words is "thirty-eight billion, four hundred sixty-one million, seventy-one thousand, three hundred sixty".