346788864 has 220 divisors, whose sum is σ = 1072980084. Its totient is φ = 111476736.

The previous prime is 346788863. The next prime is 346788877. The reversal of 346788864 is 468887643.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 207360000 = 11808^2 + 14400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 346788864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346788863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3068872 + ... + 3068984.

Almost surely, 2^346788864 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 346788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536490042).

346788864 is an abundant number, since it is smaller than the sum of its proper divisors (726191220).

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

346788864 is a wasteful number, since it uses less digits than its factorization.

346788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 346788864 is about 18622.2679606969. The cubic root of 346788864 is about 702.5680259012.

The spelling of 346788864 in words is "three hundred forty-six million, seven hundred eighty-eight thousand, eight hundred sixty-four".