346064400 has 300 divisors, whose sum is σ = 1356301584. Its totient is φ = 83808000.

The previous prime is 346064363. The next prime is 346064413. The reversal of 346064400 is 4460643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 355915 + ... + 356885.

Almost surely, 2^346064400 is an apocalyptic number.

346064400 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 346064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678150792).

346064400 is an abundant number, since it is smaller than the sum of its proper divisors (1010237184).

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

346064400 is a wasteful number, since it uses less digits than its factorization.

346064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 346064400 is about 18602.8062399198. The cubic root of 346064400 is about 702.0784483885.

The spelling of 346064400 in words is "three hundred forty-six million, sixty-four thousand, four hundred".