341887296960 has 448 divisors, whose sum is σ = 1347854860800. Its totient is φ = 80859340800.

The previous prime is 341887296923. The next prime is 341887296983. The reversal of 341887296960 is 69692788143.

341887296960 is a `hidden beast` number, since 3 + 418 + 8 + 72 + 96 + 9 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852771 + ... + 3940509.

It is an arithmetic number, because the mean of its divisors is an integer number (3008604600).

Almost surely, 2^341887296960 is an apocalyptic number.

341887296960 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 341887296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673927430400).

341887296960 is an abundant number, since it is smaller than the sum of its proper divisors (1005967563840).

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

341887296960 is a wasteful number, since it uses less digits than its factorization.

341887296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87817 (or 87801 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

It can be divided in two parts, 3418 and 87296960, that added together give a palindrome (87300378).

The spelling of 341887296960 in words is "three hundred forty-one billion, eight hundred eighty-seven million, two hundred ninety-six thousand, nine hundred sixty".