38523630240 has 192 divisors, whose sum is σ = 134975635200. Its totient is φ = 10262080512.

The previous prime is 38523630239. The next prime is 38523630287. The reversal of 38523630240 is 4203632583.

It is a happy number.

38523630240 is a `hidden beast` number, since 3 + 8 + 52 + 363 + 0 + 240 = 666.

38523630240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 38523630195 and 38523630204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4587966 + ... + 4596354.

It is an arithmetic number, because the mean of its divisors is an integer number (702998100).

Almost surely, 2^38523630240 is an apocalyptic number.

38523630240 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 38523630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67487817600).

38523630240 is an abundant number, since it is smaller than the sum of its proper divisors (96452004960).

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

38523630240 is a wasteful number, since it uses less digits than its factorization.

38523630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 38523630240 in words is "thirty-eight billion, five hundred twenty-three million, six hundred thirty thousand, two hundred forty".