38350872560 has 720 divisors, whose sum is σ = 129075363648. Its totient is φ = 10332241920.

The previous prime is 38350872541. The next prime is 38350872583. The reversal of 38350872560 is 6527805383.

It is a super-2 number, since 2×38350872560² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194674382 + ... + 194674578.

Almost surely, 2^38350872560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38350872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64537681824).

38350872560 is an abundant number, since it is smaller than the sum of its proper divisors (90724491088).

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

38350872560 is a wasteful number, since it uses less digits than its factorization.

38350872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 38350872560 in words is "thirty-eight billion, three hundred fifty million, eight hundred seventy-two thousand, five hundred sixty".