38505784320 has 176 divisors, whose sum is σ = 136843096320. Its totient is φ = 10268172288.

The previous prime is 38505784319. The next prime is 38505784321. The reversal of 38505784320 is 2348750583.

38505784320 is a `hidden beast` number, since 3 + 8 + 50 + 578 + 4 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38505784319) and next prime (38505784321).

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

It is not an unprimeable number, because it can be changed into a prime (38505784321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 277511.

Almost surely, 2^38505784320 is an apocalyptic number.

38505784320 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 38505784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68421548160).

38505784320 is an abundant number, since it is smaller than the sum of its proper divisors (98337312000).

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

38505784320 is a wasteful number, since it uses less digits than its factorization.

38505784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278577 (or 278553 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 38505784320 in words is "thirty-eight billion, five hundred five million, seven hundred eighty-four thousand, three hundred twenty".