4313346400 has 288 divisors, whose sum is σ = 12162721536. Its totient is φ = 1478400000.

The previous prime is 4313346277. The next prime is 4313346413. The reversal of 4313346400 is 46433134.

It is a congruent number.

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, 20442295 + ... + 20442505.

It is an arithmetic number, because the mean of its divisors is an integer number (42231672).

Almost surely, 2^4313346400 is an apocalyptic number.

4313346400 is a gapful number since it is divisible by the number (40) 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 4313346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081360768).

4313346400 is an abundant number, since it is smaller than the sum of its proper divisors (7849375136).

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

4313346400 is a wasteful number, since it uses less digits than its factorization.

4313346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 4313346400 is about 65676.0717461086. The cubic root of 4313346400 is about 1627.8139991586.

Adding to 4313346400 its reverse (46433134), we get a palindrome (4359779534).

It can be divided in two parts, 431334 and 6400, that added together give a palindrome (437734).

The spelling of 4313346400 in words is "four billion, three hundred thirteen million, three hundred forty-six thousand, four hundred".