341346790800 has 360 divisors, whose sum is σ = 1236555141120. Its totient is φ = 87097190400.

The previous prime is 341346790789. The next prime is 341346790861. The reversal of 341346790800 is 8097643143.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9915217 + ... + 9949583.

It is an arithmetic number, because the mean of its divisors is an integer number (3434875392).

Almost surely, 2^341346790800 is an apocalyptic number.

341346790800 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 341346790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618277570560).

341346790800 is an abundant number, since it is smaller than the sum of its proper divisors (895208350320).

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

341346790800 is a wasteful number, since it uses less digits than its factorization.

341346790800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34511 (or 34497 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 341346790800 in words is "three hundred forty-one billion, three hundred forty-six million, seven hundred ninety thousand, eight hundred".