386974016352 has 288 divisors, whose sum is σ = 1422815756544. Its totient is φ = 100512576000.

The previous prime is 386974016339. The next prime is 386974016357. The reversal of 386974016352 is 253610479683.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (386974016357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275602 + ... + 921902.

It is an arithmetic number, because the mean of its divisors is an integer number (4940332488).

It is a 1-persistent number, because it is pandigital, but 2⋅386974016352 = 773948032704 is not.

Almost surely, 2^386974016352 is an apocalyptic number.

386974016352 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 386974016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711407878272).

386974016352 is an abundant number, since it is smaller than the sum of its proper divisors (1035841740192).

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

386974016352 is a wasteful number, since it uses less digits than its factorization.

386974016352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646344 (or 646324 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 386974016352 in words is "three hundred eighty-six billion, nine hundred seventy-four million, sixteen thousand, three hundred fifty-two".