3849344640 has 256 divisors, whose sum is σ = 13694601600. Its totient is φ = 1021870080.

The previous prime is 3849344633. The next prime is 3849344641. The reversal of 3849344640 is 464439483.

It is a happy number.

3849344640 is a `hidden beast` number, since 3 + 84 + 93 + 446 + 40 = 666.

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 (3849344641) 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 31 ways as a sum of consecutive naturals, for example, 5719344 + ... + 5720016.

Almost surely, 2^3849344640 is an apocalyptic number.

3849344640 is a gapful number since it is divisible by the number (30) 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 3849344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847300800).

3849344640 is an abundant number, since it is smaller than the sum of its proper divisors (9845256960).

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

3849344640 is a wasteful number, since it uses less digits than its factorization.

3849344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3849344640 is about 62043.0869638189. The cubic root of 3849344640 is about 1567.2162715326.

The spelling of 3849344640 in words is "three billion, eight hundred forty-nine million, three hundred forty-four thousand, six hundred forty".