38325532320 has 576 divisors, whose sum is σ = 147773808000. Its totient is φ = 9343143936.

The previous prime is 38325532313. The next prime is 38325532327. The reversal of 38325532320 is 2323552383.

38325532320 is a `hidden beast` number, since 3 + 8 + 325 + 5 + 3 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (38325532313) and next prime (38325532327).

It is a super-2 number, since 2×38325532320² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38325532327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21421986 + ... + 21423774.

It is an arithmetic number, because the mean of its divisors is an integer number (256551750).

Almost surely, 2^38325532320 is an apocalyptic number.

38325532320 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 38325532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73886904000).

38325532320 is an abundant number, since it is smaller than the sum of its proper divisors (109448275680).

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

38325532320 is a wasteful number, since it uses less digits than its factorization.

38325532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 38325532320 in words is "thirty-eight billion, three hundred twenty-five million, five hundred thirty-two thousand, three hundred twenty".