346788331344 has 400 divisors, whose sum is σ = 1265478170880. Its totient is φ = 89228666880.

The previous prime is 346788331333. The next prime is 346788331349. The reversal of 346788331344 is 443133887643.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (346788331349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4799517 + ... + 4871235.

Almost surely, 2^346788331344 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 346788331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632739085440).

346788331344 is an abundant number, since it is smaller than the sum of its proper divisors (918689839536).

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

346788331344 is a wasteful number, since it uses less digits than its factorization.

346788331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71800 (or 71785 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 346788331344 in words is "three hundred forty-six billion, seven hundred eighty-eight million, three hundred thirty-one thousand, three hundred forty-four".