346054464 has 336 divisors, whose sum is σ = 1220784960. Its totient is φ = 95800320.

The previous prime is 346054459. The next prime is 346054469. The reversal of 346054464 is 464450643.

346054464 is a `hidden beast` number, since 3 + 4 + 605 + 4 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (346054459) and next prime (346054469).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346054469) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5164959 + ... + 5165025.

Almost surely, 2^346054464 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 346054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610392480).

346054464 is an abundant number, since it is smaller than the sum of its proper divisors (874730496).

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

346054464 is a wasteful number, since it uses less digits than its factorization.

346054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 346054464 is about 18602.5391815204. The cubic root of 346054464 is about 702.0717291013.

The spelling of 346054464 in words is "three hundred forty-six million, fifty-four thousand, four hundred sixty-four".