38351047680 has 528 divisors, whose sum is σ = 150022173600. Its totient is φ = 8973189120.

The previous prime is 38351047613. The next prime is 38351047727. The reversal of 38351047680 is 8674015383.

38351047680 is a `hidden beast` number, since 38 + 3 + 510 + 47 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 14698216 + ... + 14700824.

Almost surely, 2^38351047680 is an apocalyptic number.

38351047680 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 38351047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75011086800).

38351047680 is an abundant number, since it is smaller than the sum of its proper divisors (111671125920).

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

38351047680 is a wasteful number, since it uses less digits than its factorization.

38351047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38351047680 in words is "thirty-eight billion, three hundred fifty-one million, forty-seven thousand, six hundred eighty".