398696103936 has 360 divisors, whose sum is σ = 1279383582960. Its totient is φ = 122652721152.

The previous prime is 398696103929. The next prime is 398696103937. The reversal of 398696103936 is 639301696893.

398696103936 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 9 + 610 + 3 + 9 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398696103937) 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 23 ways as a sum of consecutive naturals, for example, 74757526 + ... + 74762858.

It is an arithmetic number, because the mean of its divisors is an integer number (3553843286).

Almost surely, 2^398696103936 is an apocalyptic number.

398696103936 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 398696103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639691791480).

398696103936 is an abundant number, since it is smaller than the sum of its proper divisors (880687479024).

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

398696103936 is an equidigital number, since it uses as much as digits as its factorization.

398696103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 398696103936 in words is "three hundred ninety-eight billion, six hundred ninety-six million, one hundred three thousand, nine hundred thirty-six".