346078464000 has 768 divisors, whose sum is σ = 1246772217600. Its totient is φ = 84934656000.

The previous prime is 346078463971. The next prime is 346078464007. The reversal of 346078464000 is 464870643.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (346078464007) 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, 539903680 + ... + 539904320.

It is an arithmetic number, because the mean of its divisors is an integer number (1623401325).

Almost surely, 2^346078464000 is an apocalyptic number.

346078464000 is a gapful number since it is divisible by the number (30) 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 346078464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623386108800).

346078464000 is an abundant number, since it is smaller than the sum of its proper divisors (900693753600).

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

346078464000 is a wasteful number, since it uses less digits than its factorization.

346078464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 346078464000 in words is "three hundred forty-six billion, seventy-eight million, four hundred sixty-four thousand".