398536879104 has 1320 divisors, whose sum is σ = 1573327638960. Its totient is φ = 99325771776.

The previous prime is 398536879099. The next prime is 398536879109. The reversal of 398536879104 is 401978635893.

398536879104 is a `hidden beast` number, since 3 + 9 + 8 + 536 + 8 + 7 + 91 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (398536879099) and next prime (398536879109).

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

It is not an unprimeable number, because it can be changed into a prime (398536879109) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1003871034 + ... + 1003871430.

It is an arithmetic number, because the mean of its divisors is an integer number (1191914878).

Almost surely, 2^398536879104 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 398536879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786663819480).

398536879104 is an abundant number, since it is smaller than the sum of its proper divisors (1174790759856).

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

398536879104 is a wasteful number, since it uses less digits than its factorization.

398536879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 398536879104 in words is "three hundred ninety-eight billion, five hundred thirty-six million, eight hundred seventy-nine thousand, one hundred four".