341362944 has 288 divisors, whose sum is σ = 1133193600. Its totient is φ = 100638720.

The previous prime is 341362937. The next prime is 341362951. The reversal of 341362944 is 449263143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341362937) and next prime (341362951).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 341362899 and 341362908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605759 + ... + 2605889.

It is an arithmetic number, because the mean of its divisors is an integer number (3934700).

Almost surely, 2^341362944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341362944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566596800).

341362944 is an abundant number, since it is smaller than the sum of its proper divisors (791830656).

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

341362944 is a wasteful number, since it uses less digits than its factorization.

341362944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 341362944 is about 18476.0099588629. The cubic root of 341362944 is about 698.8845800328.

The spelling of 341362944 in words is "three hundred forty-one million, three hundred sixty-two thousand, nine hundred forty-four".