346289664 has 240 divisors, whose sum is σ = 1108375488. Its totient is φ = 95735808.

The previous prime is 346289663. The next prime is 346289683. The reversal of 346289664 is 466982643.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1492992) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346289663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236299 + ... + 3236405.

Almost surely, 2^346289664 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 346289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554187744).

346289664 is an abundant number, since it is smaller than the sum of its proper divisors (762085824).

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

346289664 is a wasteful number, since it uses less digits than its factorization.

346289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 346289664 is about 18608.8598253628. The cubic root of 346289664 is about 702.2307501917.

The spelling of 346289664 in words is "three hundred forty-six million, two hundred eighty-nine thousand, six hundred sixty-four".