346290412104 has 192 divisors, whose sum is σ = 1154630480640. Its totient is φ = 91303303680.

The previous prime is 346290412093. The next prime is 346290412333. The reversal of 346290412104 is 401214092643.

346290412104 is a `hidden beast` number, since 3 + 4 + 629 + 0 + 4 + 1 + 21 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36404709 + ... + 36414219.

It is an arithmetic number, because the mean of its divisors is an integer number (6013700420).

Almost surely, 2^346290412104 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 346290412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577315240320).

346290412104 is an abundant number, since it is smaller than the sum of its proper divisors (808340068536).

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

346290412104 is a wasteful number, since it uses less digits than its factorization.

346290412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15093 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 346290412104 in words is "three hundred forty-six billion, two hundred ninety million, four hundred twelve thousand, one hundred four".