346426080 has 576 divisors, whose sum is σ = 1505806848. Its totient is φ = 65802240.

The previous prime is 346426063. The next prime is 346426121. The reversal of 346426080 is 80624643.

It is a super-2 number, since 2×346426080² = 240022057808332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 3363309 + ... + 3363411.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^346426080 is an apocalyptic number.

346426080 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 346426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

346426080 is an abundant number, since it is smaller than the sum of its proper divisors (1159380768).

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

346426080 is a wasteful number, since it uses less digits than its factorization.

346426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 346426080 is about 18612.5248152957. The cubic root of 346426080 is about 702.3229494337.

It can be divided in two parts, 346 and 426080, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 346426080 in words is "three hundred forty-six million, four hundred twenty-six thousand, eighty".