38294164480 has 352 divisors, whose sum is σ = 108880224768. Its totient is φ = 12740198400.

The previous prime is 38294164439. The next prime is 38294164501. The reversal of 38294164480 is 8446149283.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141306745 + ... + 141307015.

Almost surely, 2^38294164480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38294164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54440112384).

38294164480 is an abundant number, since it is smaller than the sum of its proper divisors (70586060288).

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

38294164480 is a wasteful number, since it uses less digits than its factorization.

38294164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 38294164480 in words is "thirty-eight billion, two hundred ninety-four million, one hundred sixty-four thousand, four hundred eighty".