38193862560 has 384 divisors, whose sum is σ = 144025620480. Its totient is φ = 8318509056.

The previous prime is 38193862541. The next prime is 38193862561. The reversal of 38193862560 is 6526839183.

It is a happy number.

It is a super-2 number, since 2×38193862560² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38193862561) 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 63 ways as a sum of consecutive naturals, for example, 24187851 + ... + 24189429.

It is an arithmetic number, because the mean of its divisors is an integer number (375066720).

Almost surely, 2^38193862560 is an apocalyptic number.

38193862560 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 38193862560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72012810240).

38193862560 is an abundant number, since it is smaller than the sum of its proper divisors (105831757920).

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

38193862560 is a wasteful number, since it uses less digits than its factorization.

38193862560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 38193862560 in words is "thirty-eight billion, one hundred ninety-three million, eight hundred sixty-two thousand, five hundred sixty".