4346845440 has 576 divisors, whose sum is σ = 16953753600. Its totient is φ = 927793152.

The previous prime is 4346845439. The next prime is 4346845469. The reversal of 4346845440 is 445486434.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4346845392 and 4346845401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48840916 + ... + 48841004.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^4346845440 is an apocalyptic number.

4346845440 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 4346845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476876800).

4346845440 is an abundant number, since it is smaller than the sum of its proper divisors (12606908160).

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

4346845440 is a wasteful number, since it uses less digits than its factorization.

4346845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The square root of 4346845440 is about 65930.6107965033. The cubic root of 4346845440 is about 1632.0172047398.

The spelling of 4346845440 in words is "four billion, three hundred forty-six million, eight hundred forty-five thousand, four hundred forty".