398091282336 has 192 divisors, whose sum is σ = 1267464360960. Its totient is φ = 120556558080.

The previous prime is 398091282331. The next prime is 398091282397. The reversal of 398091282336 is 633282190893.

It is a happy number.

398091282336 is a `hidden beast` number, since 398 + 0 + 9 + 12 + 8 + 233 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (398091282331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15830605 + ... + 15855731.

It is an arithmetic number, because the mean of its divisors is an integer number (6601376880).

Almost surely, 2^398091282336 is an apocalyptic number.

398091282336 is a gapful number since it is divisible by the number (36) 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 398091282336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633732180480).

398091282336 is an abundant number, since it is smaller than the sum of its proper divisors (869373078624).

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

398091282336 is a wasteful number, since it uses less digits than its factorization.

398091282336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26824 (or 26810 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 398091282336 in words is "three hundred ninety-eight billion, ninety-one million, two hundred eighty-two thousand, three hundred thirty-six".