341980800 has 288 divisors, whose sum is σ = 1312103520. Its totient is φ = 78059520.

The previous prime is 341980739. The next prime is 341980811. The reversal of 341980800 is 8089143.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470037 + ... + 470763.

It is an arithmetic number, because the mean of its divisors is an integer number (4555915).

Almost surely, 2^341980800 is an apocalyptic number.

341980800 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 341980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656051760).

341980800 is an abundant number, since it is smaller than the sum of its proper divisors (970122720).

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

341980800 is a wasteful number, since it uses less digits than its factorization.

341980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 341980800 is about 18492.7228930734. The cubic root of 341980800 is about 699.3059788006.

The spelling of 341980800 in words is "three hundred forty-one million, nine hundred eighty thousand, eight hundred".