3843074664 has 384 divisors, whose sum is σ = 12917923200. Its totient is φ = 1016064000.

The previous prime is 3843074657. The next prime is 3843074699. The reversal of 3843074664 is 4664703483.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18213519 + ... + 18213729.

It is an arithmetic number, because the mean of its divisors is an integer number (33640425).

Almost surely, 2^3843074664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3843074664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458961600).

3843074664 is an abundant number, since it is smaller than the sum of its proper divisors (9074848536).

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

3843074664 is a wasteful number, since it uses less digits than its factorization.

3843074664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3843074664 is about 61992.5371637587. The cubic root of 3843074664 is about 1566.3648929747.

The spelling of 3843074664 in words is "three billion, eight hundred forty-three million, seventy-four thousand, six hundred sixty-four".