2348438400 has 768 divisors, whose sum is σ = 10745740800. Its totient is φ = 486604800.

The previous prime is 2348438383. The next prime is 2348438413. The reversal of 2348438400 is 48348432.

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

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, 6652624 + ... + 6652976.

It is an arithmetic number, because the mean of its divisors is an integer number (13991850).

Almost surely, 2^2348438400 is an apocalyptic number.

2348438400 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 2348438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372870400).

2348438400 is an abundant number, since it is smaller than the sum of its proper divisors (8397302400).

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

2348438400 is a wasteful number, since it uses less digits than its factorization.

2348438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2348438400 is about 48460.6892233282. The cubic root of 2348438400 is about 1329.2083403742.

The spelling of 2348438400 in words is "two billion, three hundred forty-eight million, four hundred thirty-eight thousand, four hundred".