38805419520 has 640 divisors, whose sum is σ = 158939827200. Its totient is φ = 8790736896.

The previous prime is 38805419509. The next prime is 38805419533. The reversal of 38805419520 is 2591450883.

38805419520 is a `hidden beast` number, since 3 + 8 + 80 + 5 + 41 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 67253472 + ... + 67254048.

It is an arithmetic number, because the mean of its divisors is an integer number (248343480).

Almost surely, 2^38805419520 is an apocalyptic number.

38805419520 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 38805419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79469913600).

38805419520 is an abundant number, since it is smaller than the sum of its proper divisors (120134407680).

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

38805419520 is a wasteful number, since it uses less digits than its factorization.

38805419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 38805419520 in words is "thirty-eight billion, eight hundred five million, four hundred nineteen thousand, five hundred twenty".