38430725760 has 768 divisors, whose sum is σ = 163829952000. Its totient is φ = 8106835968.

The previous prime is 38430725633. The next prime is 38430725771. The reversal of 38430725760 is 6752703483.

38430725760 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 0 + 72 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26892726 + ... + 26894154.

It is an arithmetic number, because the mean of its divisors is an integer number (213320250).

Almost surely, 2^38430725760 is an apocalyptic number.

38430725760 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 38430725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914976000).

38430725760 is an abundant number, since it is smaller than the sum of its proper divisors (125399226240).

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

38430725760 is a wasteful number, since it uses less digits than its factorization.

38430725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 38430725760 in words is "thirty-eight billion, four hundred thirty million, seven hundred twenty-five thousand, seven hundred sixty".