38238445440 has 1536 divisors, whose sum is σ = 168344064000. Its totient is φ = 8121876480.

The previous prime is 38238445417. The next prime is 38238445477. The reversal of 38238445440 is 4454483283.

It is a happy number.

38238445440 is a `hidden beast` number, since 3 + 8 + 23 + 84 + 4 + 544 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 1233498225 + ... + 1233498255.

It is an arithmetic number, because the mean of its divisors is an integer number (109599000).

Almost surely, 2^38238445440 is an apocalyptic number.

38238445440 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 38238445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84172032000).

38238445440 is an abundant number, since it is smaller than the sum of its proper divisors (130105618560).

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

38238445440 is a wasteful number, since it uses less digits than its factorization.

38238445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 38238445440 in words is "thirty-eight billion, two hundred thirty-eight million, four hundred forty-five thousand, four hundred forty".