398102003712 has 480 divisors, whose sum is σ = 1384008368490. Its totient is φ = 113706270720.

The previous prime is 398102003707. The next prime is 398102003713. The reversal of 398102003712 is 217300201893.

398102003712 is a `hidden beast` number, since 3 + 9 + 81 + 0 + 200 + 371 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241969545216 + 156132458496 = 491904^2 + 395136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (398102003713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 130054662 + ... + 130057722.

Almost surely, 2^398102003712 is an apocalyptic number.

398102003712 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 398102003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692004184245).

398102003712 is an abundant number, since it is smaller than the sum of its proper divisors (985906364778).

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

398102003712 is an frugal number, since it uses more digits than its factorization.

398102003712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 398102003712 in words is "three hundred ninety-eight billion, one hundred two million, three thousand, seven hundred twelve".