346335440 has 80 divisors (see below), whose sum is σ = 887193216. Its totient is φ = 124684800.

The previous prime is 346335413. The next prime is 346335463. The reversal of 346335440 is 44533643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 346335397 and 346335406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 88730 + ... + 92550.

Almost surely, 2^346335440 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 346335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443596608).

346335440 is an abundant number, since it is smaller than the sum of its proper divisors (540857776).

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

346335440 is a wasteful number, since it uses less digits than its factorization.

346335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The square root of 346335440 is about 18610.0897364843. The cubic root of 346335440 is about 702.2616914352.

The spelling of 346335440 in words is "three hundred forty-six million, three hundred thirty-five thousand, four hundred forty".