341312400 has 720 divisors, whose sum is σ = 1519456320. Its totient is φ = 71884800.

The previous prime is 341312399. The next prime is 341312401. The reversal of 341312400 is 4213143.

It is an interprime number because it is at equal distance from previous prime (341312399) and next prime (341312401).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341312401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20077192 + ... + 20077208.

It is an arithmetic number, because the mean of its divisors is an integer number (2110356).

Almost surely, 2^341312400 is an apocalyptic number.

341312400 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 341312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759728160).

341312400 is an abundant number, since it is smaller than the sum of its proper divisors (1178143920).

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

341312400 is a wasteful number, since it uses less digits than its factorization.

341312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 341312400 is about 18474.6420804301. The cubic root of 341312400 is about 698.8500848165.

Adding to 341312400 its reverse (4213143), we get a palindrome (345525543).

The spelling of 341312400 in words is "three hundred forty-one million, three hundred twelve thousand, four hundred".