38333208332160 has 3072 divisors, whose sum is σ = 167527238860800. Its totient is φ = 7884192153600.

The previous prime is 38333208332017. The next prime is 38333208332161. The reversal of 38333208332160 is 6123380233383.

38333208332160 is a `hidden beast` number, since 3 + 8 + 33 + 320 + 83 + 3 + 216 + 0 = 666.

It is a super-2 number, since 2×38333208332160² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38333208332161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 301836286017 + ... + 301836286143.

It is an arithmetic number, because the mean of its divisors is an integer number (54533606400).

Almost surely, 2^{38333208332160} is an apocalyptic number.

38333208332160 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 38333208332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83763619430400).

38333208332160 is an abundant number, since it is smaller than the sum of its proper divisors (129194030528640).

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

38333208332160 is a wasteful number, since it uses less digits than its factorization.

38333208332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 38333208332160 in words is "thirty-eight trillion, three hundred thirty-three billion, two hundred eight million, three hundred thirty-two thousand, one hundred sixty".