4345846400 has 192 divisors, whose sum is σ = 12371261760. Its totient is φ = 1477632000.

The previous prime is 4345846397. The next prime is 4345846403. The reversal of 4345846400 is 46485434.

It is an interprime number because it is at equal distance from previous prime (4345846397) and next prime (4345846403).

It is not an unprimeable number, because it can be changed into a prime (4345846403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2933660 + ... + 2935140.

It is an arithmetic number, because the mean of its divisors is an integer number (64433655).

Almost surely, 2^4345846400 is an apocalyptic number.

4345846400 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 4345846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185630880).

4345846400 is an abundant number, since it is smaller than the sum of its proper divisors (8025415360).

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

4345846400 is a wasteful number, since it uses less digits than its factorization.

4345846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The square root of 4345846400 is about 65923.0339107660. The cubic root of 4345846400 is about 1631.8921657572.

The spelling of 4345846400 in words is "four billion, three hundred forty-five million, eight hundred forty-six thousand, four hundred".