388960581473352 has 1024 divisors, whose sum is σ = 1276031877120000. Its totient is φ = 107508580992000.

The previous prime is 388960581473341. The next prime is 388960581473363. The reversal of 388960581473352 is 253374185069883.

388960581473352 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 6 + 0 + 581 + 4 + 7 + 3 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (388960581473341) and next prime (388960581473363).

It is a super-4 number, since 4×388960581473352⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 681191911227 + ... + 681191911797.

It is an arithmetic number, because the mean of its divisors is an integer number (1246124880000).

It is a 1-persistent number, because it is pandigital, but 2⋅388960581473352 = 777921162946704 is not.

Almost surely, 2^{388960581473352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388960581473352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638015938560000).

388960581473352 is an abundant number, since it is smaller than the sum of its proper divisors (887071295646648).

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

388960581473352 is a wasteful number, since it uses less digits than its factorization.

388960581473352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 388960581473352 in words is "three hundred eighty-eight trillion, nine hundred sixty billion, five hundred eighty-one million, four hundred seventy-three thousand, three hundred fifty-two".