38178957960 has 640 divisors, whose sum is σ = 158729155200. Its totient is φ = 8092016640.

The previous prime is 38178957953. The next prime is 38178957989. The reversal of 38178957960 is 6975987183.

It is a super-2 number, since 2×38178957960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8800912 + ... + 8805248.

It is an arithmetic number, because the mean of its divisors is an integer number (248014305).

Almost surely, 2^38178957960 is an apocalyptic number.

38178957960 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 38178957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79364577600).

38178957960 is an abundant number, since it is smaller than the sum of its proper divisors (120550197240).

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

38178957960 is a wasteful number, since it uses less digits than its factorization.

38178957960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 38178957960 in words is "thirty-eight billion, one hundred seventy-eight million, nine hundred fifty-seven thousand, nine hundred sixty".