346091326416 has 360 divisors, whose sum is σ = 1101420665280. Its totient is φ = 101439043200.

The previous prime is 346091326393. The next prime is 346091326429. The reversal of 346091326416 is 614623190643.

346091326416 is a `hidden beast` number, since 3 + 4 + 609 + 1 + 3 + 26 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184188165 + ... + 184190043.

It is an arithmetic number, because the mean of its divisors is an integer number (3059501848).

Almost surely, 2^346091326416 is an apocalyptic number.

346091326416 is a gapful number since it is divisible by the number (36) 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 346091326416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550710332640).

346091326416 is an abundant number, since it is smaller than the sum of its proper divisors (755329338864).

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

346091326416 is a wasteful number, since it uses less digits than its factorization.

346091326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 346091326416 in words is "three hundred forty-six billion, ninety-one million, three hundred twenty-six thousand, four hundred sixteen".