398740384395360 has 288 divisors, whose sum is σ = 1555225307318592. Its totient is φ = 91132582625280.

The previous prime is 398740384395319. The next prime is 398740384395361. The reversal of 398740384395360 is 63593483047893.

398740384395360 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 4 + 0 + 3 + 84 + 3 + 9 + 536 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398740384395361) 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, 112368592 + ... + 115862768.

It is an arithmetic number, because the mean of its divisors is an integer number (5400087872634).

Almost surely, 2^{398740384395360} is an apocalyptic number.

398740384395360 is a gapful number since it is divisible by the number (30) 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 398740384395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777612653659296).

398740384395360 is an abundant number, since it is smaller than the sum of its proper divisors (1156484922923232).

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

398740384395360 is a wasteful number, since it uses less digits than its factorization.

398740384395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505526 (or 3505515 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 398740384395360 in words is "three hundred ninety-eight trillion, seven hundred forty billion, three hundred eighty-four million, three hundred ninety-five thousand, three hundred sixty".