346054440 has 64 divisors (see below), whose sum is σ = 1041264000. Its totient is φ = 92005632.

The previous prime is 346054439. The next prime is 346054441. The reversal of 346054440 is 44450643.

It is an interprime number because it is at equal distance from previous prime (346054439) and next prime (346054441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 346054398 and 346054407.

It is not an unprimeable number, because it can be changed into a prime (346054441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37749 + ... + 46011.

It is an arithmetic number, because the mean of its divisors is an integer number (16269750).

Almost surely, 2^346054440 is an apocalyptic number.

346054440 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 346054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520632000).

346054440 is an abundant number, since it is smaller than the sum of its proper divisors (695209560).

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

346054440 is a wasteful number, since it uses less digits than its factorization.

346054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8626 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 346054440 is about 18602.5385364471. The cubic root of 346054440 is about 702.0717128710.

The spelling of 346054440 in words is "three hundred forty-six million, fifty-four thousand, four hundred forty".