38284446400512 has 608 divisors, whose sum is σ = 114602930641920. Its totient is φ = 11288382013440.

The previous prime is 38284446400511. The next prime is 38284446400561. The reversal of 38284446400512 is 21500464448283.

It is a super-2 number, since 2×38284446400512² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38284446400511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35813326314 + ... + 35813327382.

It is an arithmetic number, because the mean of its divisors is an integer number (188491662240).

Almost surely, 2^{38284446400512} is an apocalyptic number.

38284446400512 is a gapful number since it is divisible by the number (32) 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 38284446400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57301465320960).

38284446400512 is an abundant number, since it is smaller than the sum of its proper divisors (76318484241408).

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

38284446400512 is a wasteful number, since it uses less digits than its factorization.

38284446400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 38284446400512 in words is "thirty-eight trillion, two hundred eighty-four billion, four hundred forty-six million, four hundred thousand, five hundred twelve".