346097664 has 192 divisors, whose sum is σ = 1120392000. Its totient is φ = 104693760.

The previous prime is 346097663. The next prime is 346097683. The reversal of 346097664 is 466790643.

346097664 is a `hidden beast` number, since 34 + 609 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (346097663) 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, 607972 + ... + 608540.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2^346097664 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 346097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196000).

346097664 is an abundant number, since it is smaller than the sum of its proper divisors (774294336).

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

346097664 is a wasteful number, since it uses less digits than its factorization.

346097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 346097664 is about 18603.7002770954. The cubic root of 346097664 is about 702.1009424573.

It can be divided in two parts, 3460 and 97664, that added together give a square (101124 = 318²).

The spelling of 346097664 in words is "three hundred forty-six million, ninety-seven thousand, six hundred sixty-four".