4006303749 has 18 divisors (see below), whose sum is σ = 6731681190. Its totient is φ = 2289316176.

The previous prime is 4006303711. The next prime is 4006303751. The reversal of 4006303749 is 9473036004.

4006303749 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3624882849 + 381420900 = 60207^2 + 19530^2 .

It is not a de Polignac number, because 4006303749 - 2⁹ = 4006303237 is a prime.

It is a super-3 number, since 3×4006303749³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006303799) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4541854 + ... + 4542735.

Almost surely, 2^4006303749 is an apocalyptic number.

4006303749 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4006303749 is a deficient number, since it is larger than the sum of its proper divisors (2725377441).

4006303749 is a wasteful number, since it uses less digits than its factorization.

4006303749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084609 (or 9084599 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4006303749 is about 63295.3690960089. The cubic root of 4006303749 is about 1588.2344957858.

The spelling of 4006303749 in words is "four billion, six million, three hundred three thousand, seven hundred forty-nine".