38324332800 has 972 divisors, whose sum is σ = 154360786944. Its totient is φ = 9057484800.

The previous prime is 38324332777. The next prime is 38324332859. The reversal of 38324332800 is 823342383.

It is a happy number.

38324332800 is a `hidden beast` number, since 3 + 8 + 324 + 3 + 328 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 301766337 + ... + 301766463.

Almost surely, 2^38324332800 is an apocalyptic number.

38324332800 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 38324332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77180393472).

38324332800 is an abundant number, since it is smaller than the sum of its proper divisors (116036454144).

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

38324332800 is a wasteful number, since it uses less digits than its factorization.

38324332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 38324332800 in words is "thirty-eight billion, three hundred twenty-four million, three hundred thirty-two thousand, eight hundred".