2349734400 has 480 divisors, whose sum is σ = 9305862720. Its totient is φ = 577290240.

The previous prime is 2349734393. The next prime is 2349734417. The reversal of 2349734400 is 44379432.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4492539 + ... + 4493061.

It is an arithmetic number, because the mean of its divisors is an integer number (19387214).

Almost surely, 2^2349734400 is an apocalyptic number.

2349734400 is a gapful number since it is divisible by the number (20) 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 2349734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652931360).

2349734400 is an abundant number, since it is smaller than the sum of its proper divisors (6956128320).

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

2349734400 is a wasteful number, since it uses less digits than its factorization.

2349734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2349734400 is about 48474.0590419247. The cubic root of 2349734400 is about 1329.4528059760.

The spelling of 2349734400 in words is "two billion, three hundred forty-nine million, seven hundred thirty-four thousand, four hundred".