4349828400 has 120 divisors (see below), whose sum is σ = 14258164800. Its totient is φ = 1132965120.

The previous prime is 4349828389. The next prime is 4349828423. The reversal of 4349828400 is 48289434.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9451 + ... + 93749.

It is an arithmetic number, because the mean of its divisors is an integer number (118818040).

Almost surely, 2^4349828400 is an apocalyptic number.

4349828400 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 4349828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129082400).

4349828400 is an abundant number, since it is smaller than the sum of its proper divisors (9908336400).

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

4349828400 is a wasteful number, since it uses less digits than its factorization.

4349828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84363 (or 84352 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4349828400 is about 65953.2288822920. The cubic root of 4349828400 is about 1632.3904354689.

The spelling of 4349828400 in words is "four billion, three hundred forty-nine million, eight hundred twenty-eight thousand, four hundred".