38800332288000 has 2080 divisors, whose sum is σ = 156109972898880. Its totient is φ = 9555148800000.

The previous prime is 38800332287917. The next prime is 38800332288001. The reversal of 38800332288000 is 88223300883.

It is a happy number.

38800332288000 is a `hidden beast` number, since 38 + 8 + 0 + 0 + 332 + 288 + 0 + 0 + 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 not an unprimeable number, because it can be changed into a prime (38800332288001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32306687400 + ... + 32306688600.

It is an arithmetic number, because the mean of its divisors is an integer number (75052871586).

Almost surely, 2^{38800332288000} is an apocalyptic number.

38800332288000 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 38800332288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78054986449440).

38800332288000 is an abundant number, since it is smaller than the sum of its proper divisors (117309640610880).

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

38800332288000 is a wasteful number, since it uses less digits than its factorization.

38800332288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 38800332288000 its reverse (88223300883), we get a palindrome (38888555588883).

The spelling of 38800332288000 in words is "thirty-eight trillion, eight hundred billion, three hundred thirty-two million, two hundred eighty-eight thousand".