38368028160 has 1280 divisors, whose sum is σ = 173946009600. Its totient is φ = 7882997760.

The previous prime is 38368028147. The next prime is 38368028189. The reversal of 38368028160 is 6182086383.

38368028160 is a `hidden beast` number, since 3 + 8 + 368 + 0 + 281 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431101396 + ... + 431101484.

It is an arithmetic number, because the mean of its divisors is an integer number (135895320).

Almost surely, 2^38368028160 is an apocalyptic number.

38368028160 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 38368028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86973004800).

38368028160 is an abundant number, since it is smaller than the sum of its proper divisors (135577981440).

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

38368028160 is an frugal number, since it uses more digits than its factorization.

38368028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38368028160 in words is "thirty-eight billion, three hundred sixty-eight million, twenty-eight thousand, one hundred sixty".