341140800 has 672 divisors, whose sum is σ = 1523902464. Its totient is φ = 64512000.

The previous prime is 341140799. The next prime is 341140829. The reversal of 341140800 is 8041143.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×341140800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804765 + ... + 4804835.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^341140800 is an apocalyptic number.

341140800 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 341140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761951232).

341140800 is an abundant number, since it is smaller than the sum of its proper divisors (1182761664).

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

341140800 is a wasteful number, since it uses less digits than its factorization.

341140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 341140800 is about 18469.9972929072. The cubic root of 341140800 is about 698.7329460136.

Adding to 341140800 its reverse (8041143), we get a palindrome (349181943).

It can be divided in two parts, 341 and 140800, that added together give a palindrome (141141).

The spelling of 341140800 in words is "three hundred forty-one million, one hundred forty thousand, eight hundred".