3844294624 has 96 divisors (see below), whose sum is σ = 8365593600. Its totient is φ = 1731870720.

The previous prime is 3844294613. The next prime is 3844294637. The reversal of 3844294624 is 4264924483.

It is a happy number.

It is a super-2 number, since 2×3844294624² = 29557202312230602752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110304 + ... + 1113760.

It is an arithmetic number, because the mean of its divisors is an integer number (87141600).

Almost surely, 2^3844294624 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 3844294624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182796800).

3844294624 is an abundant number, since it is smaller than the sum of its proper divisors (4521298976).

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

3844294624 is a wasteful number, since it uses less digits than its factorization.

3844294624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3568 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The square root of 3844294624 is about 62002.3759544745. The cubic root of 3844294624 is about 1566.5306196836.

The spelling of 3844294624 in words is "three billion, eight hundred forty-four million, two hundred ninety-four thousand, six hundred twenty-four".