359998343839680 has 7168 divisors, whose sum is σ = 1703624638464000. Its totient is φ = 63488230686720.

The previous prime is 359998343839567. The next prime is 359998343839681. The reversal of 359998343839680 is 86938343899953.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359998343839681) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1585895787727 + ... + 1585895787953.

It is an arithmetic number, because the mean of its divisors is an integer number (237670848000).

Almost surely, 2^{359998343839680} is an apocalyptic number.

359998343839680 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 359998343839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851812319232000).

359998343839680 is an abundant number, since it is smaller than the sum of its proper divisors (1343626294624320).

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

359998343839680 is a wasteful number, since it uses less digits than its factorization.

359998343839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 32651735040, while the sum is 87.

The spelling of 359998343839680 in words is "three hundred fifty-nine trillion, nine hundred ninety-eight billion, three hundred forty-three million, eight hundred thirty-nine thousand, six hundred eighty".