398785936032 has 288 divisors, whose sum is σ = 1279334347200. Its totient is φ = 116791234560.

The previous prime is 398785936019. The next prime is 398785936033. The reversal of 398785936032 is 230639587893.

398785936032 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 8 + 593 + 6 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (398785936033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11231844 + ... + 11267292.

It is an arithmetic number, because the mean of its divisors is an integer number (4442133150).

Almost surely, 2^398785936032 is an apocalyptic number.

398785936032 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 398785936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639667173600).

398785936032 is an abundant number, since it is smaller than the sum of its proper divisors (880548411168).

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

398785936032 is a wasteful number, since it uses less digits than its factorization.

398785936032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35596 (or 35585 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 398785936032 in words is "three hundred ninety-eight billion, seven hundred eighty-five million, nine hundred thirty-six thousand, thirty-two".