4395744820 has 96 divisors (see below), whose sum is σ = 9987618816. Its totient is φ = 1620326400.

The previous prime is 4395744817. The next prime is 4395744841. The reversal of 4395744820 is 284475934.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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, 4006512 + ... + 4007608.

It is an arithmetic number, because the mean of its divisors is an integer number (104037696).

Almost surely, 2^4395744820 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 4395744820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993809408).

4395744820 is an abundant number, since it is smaller than the sum of its proper divisors (5591873996).

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

4395744820 is a wasteful number, since it uses less digits than its factorization.

4395744820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The square root of 4395744820 is about 66300.4134225421. The cubic root of 4395744820 is about 1638.1141345409.

The spelling of 4395744820 in words is "four billion, three hundred ninety-five million, seven hundred forty-four thousand, eight hundred twenty".