38152080000 has 640 divisors, whose sum is σ = 149127264000. Its totient is φ = 9566208000.

The previous prime is 38152079947. The next prime is 38152080007. The reversal of 38152080000 is 8025183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (38152080007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 36719481 + ... + 36720519.

It is an arithmetic number, because the mean of its divisors is an integer number (233011350).

Almost surely, 2^38152080000 is an apocalyptic number.

38152080000 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 38152080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74563632000).

38152080000 is an abundant number, since it is smaller than the sum of its proper divisors (110975184000).

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

38152080000 is a wasteful number, since it uses less digits than its factorization.

38152080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 38152080000 in words is "thirty-eight billion, one hundred fifty-two million, eighty thousand".