4349948400 has 480 divisors, whose sum is σ = 17853381120. Its totient is φ = 985374720.

The previous prime is 4349948387. The next prime is 4349948429. The reversal of 4349948400 is 48499434.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12322624 + ... + 12322976.

It is an arithmetic number, because the mean of its divisors is an integer number (37194544).

Almost surely, 2^4349948400 is an apocalyptic number.

4349948400 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 4349948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926690560).

4349948400 is an abundant number, since it is smaller than the sum of its proper divisors (13503432720).

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

4349948400 is a wasteful number, since it uses less digits than its factorization.

4349948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4349948400 is about 65954.1386116141. The cubic root of 4349948400 is about 1632.4054464098.

The spelling of 4349948400 in words is "four billion, three hundred forty-nine million, nine hundred forty-eight thousand, four hundred".