346356837683376 has 160 divisors (see below), whose sum is σ = 975803087938560. Its totient is φ = 105219811786752.

The previous prime is 346356837683371. The next prime is 346356837683387. The reversal of 346356837683376 is 673386738653643.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (346356837683371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3814331191 + ... + 3814421993.

It is an arithmetic number, because the mean of its divisors is an integer number (6098769299616).

Almost surely, 2^{346356837683376} 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 346356837683376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487901543969280).

346356837683376 is an abundant number, since it is smaller than the sum of its proper divisors (629446250255184).

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

346356837683376 is a wasteful number, since it uses less digits than its factorization.

346356837683376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168283 (or 168277 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 78.

The spelling of 346356837683376 in words is "three hundred forty-six trillion, three hundred fifty-six billion, eight hundred thirty-seven million, six hundred eighty-three thousand, three hundred seventy-six".