4013838345 has 64 divisors (see below), whose sum is σ = 7177927680. Its totient is φ = 1898899200.

The previous prime is 4013838341. The next prime is 4013838349. The reversal of 4013838345 is 5438383104.

4013838345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4013838341) and next prime (4013838349).

It is not a de Polignac number, because 4013838345 - 2² = 4013838341 is a prime.

It is a super-2 number, since 2×4013838345² = 32221796519584678050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4013838341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1203330 + ... + 1206660.

It is an arithmetic number, because the mean of its divisors is an integer number (112155120).

Almost surely, 2^4013838345 is an apocalyptic number.

It is an amenable number.

4013838345 is a deficient number, since it is larger than the sum of its proper divisors (3164089335).

4013838345 is a wasteful number, since it uses less digits than its factorization.

4013838345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526.

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4013838345 is about 63354.8604686333. The cubic root of 4013838345 is about 1589.2295286131.

The spelling of 4013838345 in words is "four billion, thirteen million, eight hundred thirty-eight thousand, three hundred forty-five".