4384197090 has 480 divisors, whose sum is σ = 15329548080. Its totient is φ = 890072064.

The previous prime is 4384197089. The next prime is 4384197091. The reversal of 4384197090 is 907914834.

4384197090 is a `hidden beast` number, since 438 + 41 + 97 + 0 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (4384197089) and next prime (4384197091).

It can be written as a sum of positive squares in 8 ways, for example, as 2286465489 + 2097731601 = 47817^2 + 45801^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4384197091) 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 239 ways as a sum of consecutive naturals, for example, 14962984 + ... + 14963276.

Almost surely, 2^4384197090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4384197090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664774040).

4384197090 is an abundant number, since it is smaller than the sum of its proper divisors (10945350990).

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

4384197090 is a wasteful number, since it uses less digits than its factorization.

4384197090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4384197090 is about 66213.2697425524. The cubic root of 4384197090 is about 1636.6784211839.

The spelling of 4384197090 in words is "four billion, three hundred eighty-four million, one hundred ninety-seven thousand, ninety".