3046400448 has 224 divisors, whose sum is σ = 10014606336. Its totient is φ = 795820032.

The previous prime is 3046400447. The next prime is 3046400471. The reversal of 3046400448 is 8440046403.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3046400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973565 + ... + 1975107.

It is an arithmetic number, because the mean of its divisors is an integer number (44708064).

Almost surely, 2^3046400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3046400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007303168).

3046400448 is an abundant number, since it is smaller than the sum of its proper divisors (6968205888).

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

3046400448 is a wasteful number, since it uses less digits than its factorization.

3046400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3046400448 is about 55194.2066525102. The cubic root of 3046400448 is about 1449.6472305513.

The spelling of 3046400448 in words is "three billion, forty-six million, four hundred thousand, four hundred forty-eight".