344862414 has 192 divisors, whose sum is σ = 910725120. Its totient is φ = 96370560.

The previous prime is 344862373. The next prime is 344862433. The reversal of 344862414 is 414268443.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (73728) is a multiple of the sum of its prime factors (144).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6506812 + ... + 6506864.

It is an arithmetic number, because the mean of its divisors is an integer number (4743360).

Almost surely, 2^344862414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344862414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455362560).

344862414 is an abundant number, since it is smaller than the sum of its proper divisors (565862706).

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

344862414 is a wasteful number, since it uses less digits than its factorization.

344862414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 344862414 is about 18570.4715610563. The cubic root of 344862414 is about 701.2646621087.

The spelling of 344862414 in words is "three hundred forty-four million, eight hundred sixty-two thousand, four hundred fourteen".