38352330720 has 576 divisors, whose sum is σ = 150014592000. Its totient is φ = 8848604160.

The previous prime is 38352330647. The next prime is 38352330721. The reversal of 38352330720 is 2703325383.

38352330720 is a `hidden beast` number, since 3 + 83 + 523 + 30 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38352330721) 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, 192725181 + ... + 192725379.

It is an arithmetic number, because the mean of its divisors is an integer number (260442000).

Almost surely, 2^38352330720 is an apocalyptic number.

38352330720 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 38352330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75007296000).

38352330720 is an abundant number, since it is smaller than the sum of its proper divisors (111662261280).

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

38352330720 is a wasteful number, since it uses less digits than its factorization.

38352330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 38352330720 in words is "thirty-eight billion, three hundred fifty-two million, three hundred thirty thousand, seven hundred twenty".