346365204416 has 224 divisors, whose sum is σ = 869300328960. Its totient is φ = 133005312000.

The previous prime is 346365204407. The next prime is 346365204463. The reversal of 346365204416 is 614402563643.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245822720 + ... + 245824128.

It is an arithmetic number, because the mean of its divisors is an integer number (3880805040).

Almost surely, 2^346365204416 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 346365204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434650164480).

346365204416 is an abundant number, since it is smaller than the sum of its proper divisors (522935124544).

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

346365204416 is a wasteful number, since it uses less digits than its factorization.

346365204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 346365204416 in words is "three hundred forty-six billion, three hundred sixty-five million, two hundred four thousand, four hundred sixteen".