346696341264 has 1800 divisors, whose sum is σ = 1426725558720. Its totient is φ = 80184867840.

The previous prime is 346696341263. The next prime is 346696341269. The reversal of 346696341264 is 462143696643.

346696341264 is a `hidden beast` number, since 3 + 466 + 96 + 34 + 1 + 2 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 346696341264.

It is not an unprimeable number, because it can be changed into a prime (346696341263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11183752929 + ... + 11183752959.

Almost surely, 2^346696341264 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 346696341264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713362779360).

346696341264 is an abundant number, since it is smaller than the sum of its proper divisors (1080029217456).

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

346696341264 is a wasteful number, since it uses less digits than its factorization.

346696341264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 98 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 346696341264 in words is "three hundred forty-six billion, six hundred ninety-six million, three hundred forty-one thousand, two hundred sixty-four".