38328132960 has 768 divisors, whose sum is σ = 149971046400. Its totient is φ = 9083363328.

The previous prime is 38328132943. The next prime is 38328132971. The reversal of 38328132960 is 6923182383.

38328132960 is a `hidden beast` number, since 3 + 83 + 281 + 3 + 296 + 0 = 666.

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, 235141839 + ... + 235142001.

It is an arithmetic number, because the mean of its divisors is an integer number (195274800).

Almost surely, 2^38328132960 is an apocalyptic number.

38328132960 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 38328132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74985523200).

38328132960 is an abundant number, since it is smaller than the sum of its proper divisors (111642913440).

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

38328132960 is a wasteful number, since it uses less digits than its factorization.

38328132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38328132960 in words is "thirty-eight billion, three hundred twenty-eight million, one hundred thirty-two thousand, nine hundred sixty".