346374144 has 210 divisors, whose sum is σ = 1074429930. Its totient is φ = 111476736.

The previous prime is 346374143. The next prime is 346374209. The reversal of 346374144 is 441473643.

346374144 is a `hidden beast` number, since 3 + 4 + 637 + 4 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298598400 + 47775744 = 17280^2 + 6912^2 .

It is a super-3 number, since 3×346374144³ (a number of 27 digits) contains 333 as substring.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 346374099 and 346374108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346374143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11943922 + ... + 11943950.

It is an arithmetic number, because the mean of its divisors is an integer number (5116333).

Almost surely, 2^346374144 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 346374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537214965).

346374144 is an abundant number, since it is smaller than the sum of its proper divisors (728055786).

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

346374144 is an frugal number, since it uses more digits than its factorization.

346374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 346374144 is about 18611.1295734568. The cubic root of 346374144 is about 702.2878503946.

It can be divided in two parts, 34637 and 4144, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 346374144 in words is "three hundred forty-six million, three hundred seventy-four thousand, one hundred forty-four".