387349523712 has 576 divisors, whose sum is σ = 1222671744000. Its totient is φ = 120766464000.

The previous prime is 387349523711. The next prime is 387349523837. The reversal of 387349523712 is 217325943783.

It is a happy number.

387349523712 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 49 + 523 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387349523711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965958712 + ... + 965959112.

It is an arithmetic number, because the mean of its divisors is an integer number (2122694000).

Almost surely, 2^387349523712 is an apocalyptic number.

387349523712 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 387349523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611335872000).

387349523712 is an abundant number, since it is smaller than the sum of its proper divisors (835322220288).

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

387349523712 is a wasteful number, since it uses less digits than its factorization.

387349523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 387349523712 in words is "three hundred eighty-seven billion, three hundred forty-nine million, five hundred twenty-three thousand, seven hundred twelve".