346473306400 has 288 divisors, whose sum is σ = 957837944448. Its totient is φ = 121421414400.

The previous prime is 346473306391. The next prime is 346473306437. The reversal of 346473306400 is 4603374643.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 31329672 + ... + 31340728.

It is an arithmetic number, because the mean of its divisors is an integer number (3325826196).

Almost surely, 2^346473306400 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 346473306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478918972224).

346473306400 is an abundant number, since it is smaller than the sum of its proper divisors (611364638048).

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

346473306400 is a wasteful number, since it uses less digits than its factorization.

346473306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The spelling of 346473306400 in words is "three hundred forty-six billion, four hundred seventy-three million, three hundred six thousand, four hundred".