346034000 has 80 divisors (see below), whose sum is σ = 901140240. Its totient is φ = 127756800.

The previous prime is 346033969. The next prime is 346034009. The reversal of 346034000 is 430643.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 288456256 + 57577744 = 16984^2 + 7588^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346034009) 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, 19346 + ... + 32654.

It is an arithmetic number, because the mean of its divisors is an integer number (11264253).

Almost surely, 2^346034000 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 346034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450570120).

346034000 is an abundant number, since it is smaller than the sum of its proper divisors (555106240).

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

346034000 is a wasteful number, since it uses less digits than its factorization.

346034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 346034000 is about 18601.9891409494. The cubic root of 346034000 is about 702.0578897778.

Adding to 346034000 its reverse (430643), we get a palindrome (346464643).

The spelling of 346034000 in words is "three hundred forty-six million, thirty-four thousand".