38320128000 has 1440 divisors, whose sum is σ = 178621567488. Its totient is φ = 7962624000.

The previous prime is 38320127939. The next prime is 38320128013. The reversal of 38320128000 is 82102383.

It is a Jordan-Polya number, since it can be written as 11! ⋅ 5! ⋅ (2!)³.

38320128000 is a `hidden beast` number, since 383 + 2 + 0 + 1 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 3483647995 + ... + 3483648005.

Almost surely, 2^38320128000 is an apocalyptic number.

38320128000 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 38320128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89310783744).

38320128000 is an abundant number, since it is smaller than the sum of its proper divisors (140301439488).

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

38320128000 is an frugal number, since it uses more digits than its factorization.

38320128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 38320128000 in words is "thirty-eight billion, three hundred twenty million, one hundred twenty-eight thousand".