4350326400 has 384 divisors, whose sum is σ = 18197942400. Its totient is φ = 994222080.

The previous prime is 4350326399. The next prime is 4350326419. The reversal of 4350326400 is 46230534.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 601204 + ... + 608396.

It is an arithmetic number, because the mean of its divisors is an integer number (47390475).

Almost surely, 2^4350326400 is an apocalyptic number.

4350326400 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 4350326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9098971200).

4350326400 is an abundant number, since it is smaller than the sum of its proper divisors (13847616000).

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

4350326400 is a wasteful number, since it uses less digits than its factorization.

4350326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4350326400 is about 65957.0041769636. The cubic root of 4350326400 is about 1632.4527290692.

Adding to 4350326400 its reverse (46230534), we get a palindrome (4396556934).

The spelling of 4350326400 in words is "four billion, three hundred fifty million, three hundred twenty-six thousand, four hundred".