38096192160 has 960 divisors, whose sum is σ = 157122104832. Its totient is φ = 8607596544.

The previous prime is 38096192149. The next prime is 38096192213. The reversal of 38096192160 is 6129169083.

It is a happy number.

38096192160 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 619 + 21 + 6 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134615379 + ... + 134615661.

Almost surely, 2^38096192160 is an apocalyptic number.

38096192160 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 38096192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78561052416).

38096192160 is an abundant number, since it is smaller than the sum of its proper divisors (119025912672).

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

38096192160 is a wasteful number, since it uses less digits than its factorization.

38096192160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 38096192160 in words is "thirty-eight billion, ninety-six million, one hundred ninety-two thousand, one hundred sixty".