341474400 has 144 divisors (see below), whose sum is σ = 1235077200. Its totient is φ = 91054080.

The previous prime is 341474387. The next prime is 341474423. The reversal of 341474400 is 4474143.

341474400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 13696 + ... + 29504.

It is an arithmetic number, because the mean of its divisors is an integer number (8576925).

Almost surely, 2^341474400 is an apocalyptic number.

341474400 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 341474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617538600).

341474400 is an abundant number, since it is smaller than the sum of its proper divisors (893602800).

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

341474400 is a wasteful number, since it uses less digits than its factorization.

341474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 341474400 is about 18479.0259483556. The cubic root of 341474400 is about 698.9606343761.

The spelling of 341474400 in words is "three hundred forty-one million, four hundred seventy-four thousand, four hundred".