346480992 has 288 divisors, whose sum is σ = 1188794880. Its totient is φ = 94325760.

The previous prime is 346480969. The next prime is 346481021. The reversal of 346480992 is 299084643.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1935559 + ... + 1935737.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^346480992 is an apocalyptic number.

346480992 is a gapful number since it is divisible by the number (32) 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 346480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

346480992 is an abundant number, since it is smaller than the sum of its proper divisors (842313888).

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

346480992 is a wasteful number, since it uses less digits than its factorization.

346480992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 346480992 is about 18613.9998925540. Note that the first 3 decimals coincide. The cubic root of 346480992 is about 702.3600558782.

The spelling of 346480992 in words is "three hundred forty-six million, four hundred eighty thousand, nine hundred ninety-two".