3844656576 has 168 divisors, whose sum is σ = 11488027824. Its totient is φ = 1274849280.

The previous prime is 3844656553. The next prime is 3844656583. The reversal of 3844656576 is 6756564483.

3844656576 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 6 + 565 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3623086 + ... + 3624146.

It is an arithmetic number, because the mean of its divisors is an integer number (68381118).

Almost surely, 2^3844656576 is an apocalyptic number.

3844656576 is a gapful number since it is divisible by the number (36) 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 3844656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744013912).

3844656576 is an abundant number, since it is smaller than the sum of its proper divisors (7643371248).

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

3844656576 is a wasteful number, since it uses less digits than its factorization.

3844656576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1299 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 3844656576 is about 62005.2947416590. The cubic root of 3844656576 is about 1566.5797826773.

The spelling of 3844656576 in words is "three billion, eight hundred forty-four million, six hundred fifty-six thousand, five hundred seventy-six".