346944480 has 96 divisors (see below), whose sum is σ = 1096550784. Its totient is φ = 92207616.

The previous prime is 346944463. The next prime is 346944497. The reversal of 346944480 is 84449643.

It is an interprime number because it is at equal distance from previous prime (346944463) and next prime (346944497).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165519 + ... + 167601.

It is an arithmetic number, because the mean of its divisors is an integer number (11422404).

Almost surely, 2^346944480 is an apocalyptic number.

346944480 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 346944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548275392).

346944480 is an abundant number, since it is smaller than the sum of its proper divisors (749606304).

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

346944480 is a wasteful number, since it uses less digits than its factorization.

346944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 346944480 is about 18626.4457157022. The cubic root of 346944480 is about 702.6730989373.

The spelling of 346944480 in words is "three hundred forty-six million, nine hundred forty-four thousand, four hundred eighty".