38284048927488 has 1152 divisors, whose sum is σ = 135317326233600. Its totient is φ = 9328484745216.

The previous prime is 38284048927483. The next prime is 38284048927489. The reversal of 38284048927488 is 88472984048283.

It is not an unprimeable number, because it can be changed into a prime (38284048927483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8706854506 + ... + 8706858902.

It is an arithmetic number, because the mean of its divisors is an integer number (117462956800).

Almost surely, 2^{38284048927488} is an apocalyptic number.

38284048927488 is a gapful number since it is divisible by the number (38) 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 38284048927488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67658663116800).

38284048927488 is an abundant number, since it is smaller than the sum of its proper divisors (97033277306112).

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

38284048927488 is a wasteful number, since it uses less digits than its factorization.

38284048927488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 1585446912, while the sum is 75.

The spelling of 38284048927488 in words is "thirty-eight trillion, two hundred eighty-four billion, forty-eight million, nine hundred twenty-seven thousand, four hundred eighty-eight".