38079007200 has 720 divisors, whose sum is σ = 158405330160. Its totient is φ = 8818606080.

The previous prime is 38079007199. The next prime is 38079007223. The reversal of 38079007200 is 270097083.

38079007200 is a `hidden beast` number, since 380 + 79 + 0 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14319471 + ... + 14322129.

It is an arithmetic number, because the mean of its divisors is an integer number (220007403).

Almost surely, 2^38079007200 is an apocalyptic number.

38079007200 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 38079007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79202665080).

38079007200 is an abundant number, since it is smaller than the sum of its proper divisors (120326322960).

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

38079007200 is a wasteful number, since it uses less digits than its factorization.

38079007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 38079007200 in words is "thirty-eight billion, seventy-nine million, seven thousand, two hundred".