346336916352 has 512 divisors, whose sum is σ = 1129166438400. Its totient is φ = 91929600000.

The previous prime is 346336916329. The next prime is 346336916357. The reversal of 346336916352 is 253619633643.

It is a junction number, because it is equal to n+sod(n) for n = 346336916295 and 346336916304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346336916357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606544227 + ... + 606544797.

It is an arithmetic number, because the mean of its divisors is an integer number (2205403200).

Almost surely, 2^346336916352 is an apocalyptic number.

346336916352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346336916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564583219200).

346336916352 is an abundant number, since it is smaller than the sum of its proper divisors (782829522048).

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

346336916352 is a wasteful number, since it uses less digits than its factorization.

346336916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 51.

The spelling of 346336916352 in words is "three hundred forty-six billion, three hundred thirty-six million, nine hundred sixteen thousand, three hundred fifty-two".