38950450560 has 768 divisors, whose sum is σ = 163885962240. Its totient is φ = 8653381632.

The previous prime is 38950450537. The next prime is 38950450579. The reversal of 38950450560 is 6505405983.

38950450560 is a `hidden beast` number, since 3 + 89 + 5 + 0 + 4 + 5 + 0 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40279197 + ... + 40280163.

It is an arithmetic number, because the mean of its divisors is an integer number (213393180).

Almost surely, 2^38950450560 is an apocalyptic number.

38950450560 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 38950450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81942981120).

38950450560 is an abundant number, since it is smaller than the sum of its proper divisors (124935511680).

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

38950450560 is an equidigital number, since it uses as much as digits as its factorization.

38950450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

38950450560 divided by its sum of digits (45) gives a palindrome (865565568).

The spelling of 38950450560 in words is "thirty-eight billion, nine hundred fifty million, four hundred fifty thousand, five hundred sixty".