346474013600 has 864 divisors, whose sum is σ = 1081636395840. Its totient is φ = 107296358400.

The previous prime is 346474013549. The next prime is 346474013621. The reversal of 346474013600 is 6310474643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1028112632 + ... + 1028112968.

Almost surely, 2^346474013600 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 346474013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540818197920).

346474013600 is an abundant number, since it is smaller than the sum of its proper divisors (735162382240).

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

346474013600 is a wasteful number, since it uses less digits than its factorization.

346474013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 346474013600 in words is "three hundred forty-six billion, four hundred seventy-four million, thirteen thousand, six hundred".