346438400 has 432 divisors, whose sum is σ = 1155759360. Its totient is φ = 99532800.

The previous prime is 346438399. The next prime is 346438403. The reversal of 346438400 is 4834643.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346438403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9363182 + ... + 9363218.

Almost surely, 2^346438400 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 346438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577879680).

346438400 is an abundant number, since it is smaller than the sum of its proper divisors (809320960).

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

346438400 is a wasteful number, since it uses less digits than its factorization.

346438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 346438400 is about 18612.8557722881. The cubic root of 346438400 is about 702.3312749387.

The spelling of 346438400 in words is "three hundred forty-six million, four hundred thirty-eight thousand, four hundred".