3845349306 has 96 divisors (see below), whose sum is σ = 9192268800. Its totient is φ = 1156446720.

The previous prime is 3845349281. The next prime is 3845349331. The reversal of 3845349306 is 6039435483.

3845349306 is a `hidden beast` number, since 3 + 84 + 534 + 9 + 30 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3845349281) and next prime (3845349331).

It is a super-2 number, since 2×3845349306² = 29573422570309363272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032115 + ... + 1035833.

It is an arithmetic number, because the mean of its divisors is an integer number (95752800).

Almost surely, 2^3845349306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845349306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

3845349306 is an abundant number, since it is smaller than the sum of its proper divisors (5346919494).

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

3845349306 is a wasteful number, since it uses less digits than its factorization.

3845349306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3845349306 is about 62010.8805452721. The cubic root of 3845349306 is about 1566.6738657785.

The spelling of 3845349306 in words is "three billion, eight hundred forty-five million, three hundred forty-nine thousand, three hundred six".