4284346416 has 80 divisors (see below), whose sum is σ = 12681926400. Its totient is φ = 1220914944.

The previous prime is 4284346399. The next prime is 4284346427. The reversal of 4284346416 is 6146434824.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114315 + ... + 147093.

It is an arithmetic number, because the mean of its divisors is an integer number (158524080).

Almost surely, 2^4284346416 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 4284346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340963200).

4284346416 is an abundant number, since it is smaller than the sum of its proper divisors (8397579984).

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

4284346416 is a wasteful number, since it uses less digits than its factorization.

4284346416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33186 (or 33180 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 4284346416 is about 65454.9189595404. The cubic root of 4284346416 is about 1624.1576909331.

The spelling of 4284346416 in words is "four billion, two hundred eighty-four million, three hundred forty-six thousand, four hundred sixteen".