386346397248 has 1120 divisors, whose sum is σ = 1419369881600. Its totient is φ = 103699491840.

The previous prime is 386346397231. The next prime is 386346397303. The reversal of 386346397248 is 842793643683.

386346397248 is a `hidden beast` number, since 3 + 8 + 63 + 463 + 9 + 72 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2370223215 + ... + 2370223377.

Almost surely, 2^386346397248 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 386346397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709684940800).

386346397248 is an abundant number, since it is smaller than the sum of its proper divisors (1033023484352).

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

386346397248 is a wasteful number, since it uses less digits than its factorization.

386346397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 386346397248 in words is "three hundred eighty-six billion, three hundred forty-six million, three hundred ninety-seven thousand, two hundred forty-eight".