38172055680 has 512 divisors, whose sum is σ = 156171628800. Its totient is φ = 8708751360.

The previous prime is 38172055673. The next prime is 38172055681. The reversal of 38172055680 is 8655027183.

38172055680 is a `hidden beast` number, since 3 + 8 + 17 + 2 + 0 + 556 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38172055681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3225454 + ... + 3237266.

Almost surely, 2^38172055680 is an apocalyptic number.

38172055680 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 38172055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78085814400).

38172055680 is an abundant number, since it is smaller than the sum of its proper divisors (117999573120).

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

38172055680 is a wasteful number, since it uses less digits than its factorization.

38172055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 38172055680 in words is "thirty-eight billion, one hundred seventy-two million, fifty-five thousand, six hundred eighty".