387329246172 has 384 divisors, whose sum is σ = 1149830922240. Its totient is φ = 111694464000.

The previous prime is 387329246159. The next prime is 387329246191. The reversal of 387329246172 is 271642923783.

It is a happy number.

387329246172 is a `hidden beast` number, since 3 + 8 + 7 + 329 + 246 + 1 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678334647 + ... + 678335217.

It is an arithmetic number, because the mean of its divisors is an integer number (2994351360).

Almost surely, 2^387329246172 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 387329246172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574915461120).

387329246172 is an abundant number, since it is smaller than the sum of its proper divisors (762501676068).

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

387329246172 is a wasteful number, since it uses less digits than its factorization.

387329246172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 387329246172 in words is "three hundred eighty-seven billion, three hundred twenty-nine million, two hundred forty-six thousand, one hundred seventy-two".