38520282240 has 1152 divisors, whose sum is σ = 159991977600. Its totient is φ = 8831877120.

The previous prime is 38520282223. The next prime is 38520282253. The reversal of 38520282240 is 4228202583.

38520282240 is a `hidden beast` number, since 38 + 520 + 2 + 82 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38520282195 and 38520282204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432812116 + ... + 432812204.

It is an arithmetic number, because the mean of its divisors is an integer number (138881925).

Almost surely, 2^38520282240 is an apocalyptic number.

38520282240 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 38520282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79995988800).

38520282240 is an abundant number, since it is smaller than the sum of its proper divisors (121471695360).

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

38520282240 is a wasteful number, since it uses less digits than its factorization.

38520282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 38520282240 in words is "thirty-eight billion, five hundred twenty million, two hundred eighty-two thousand, two hundred forty".