341626306560 has 720 divisors, whose sum is σ = 1387789925760. Its totient is φ = 70959759360.

The previous prime is 341626306559. The next prime is 341626306573. The reversal of 341626306560 is 65603626143.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 132463351 + ... + 132465929.

It is an arithmetic number, because the mean of its divisors is an integer number (1927486008).

Almost surely, 2^341626306560 is an apocalyptic number.

341626306560 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 341626306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693894962880).

341626306560 is an abundant number, since it is smaller than the sum of its proper divisors (1046163619200).

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

341626306560 is a wasteful number, since it uses less digits than its factorization.

341626306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 341626306560 in words is "three hundred forty-one billion, six hundred twenty-six million, three hundred six thousand, five hundred sixty".