4293982368 has 360 divisors, whose sum is σ = 14394023028. Its totient is φ = 1248141312.

The previous prime is 4293982367. The next prime is 4293982393. The reversal of 4293982368 is 8632893924.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4046486544 + 247495824 = 63612^2 + 15732^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (4293982361) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 12164080 + ... + 12164432.

Almost surely, 2^4293982368 is an apocalyptic number.

4293982368 is a gapful number since it is divisible by the number (48) 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 4293982368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197011514).

4293982368 is an abundant number, since it is smaller than the sum of its proper divisors (10100040660).

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

4293982368 is a wasteful number, since it uses less digits than its factorization.

4293982368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 390 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 4293982368 is about 65528.4851648503. The cubic root of 4293982368 is about 1625.3744138278.

The spelling of 4293982368 in words is "four billion, two hundred ninety-three million, nine hundred eighty-two thousand, three hundred sixty-eight".