3823044264 has 256 divisors, whose sum is σ = 12152448000. Its totient is φ = 1103880960.

The previous prime is 3823044241. The next prime is 3823044289. The reversal of 3823044264 is 4624403283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6988839 + ... + 6989385.

It is an arithmetic number, because the mean of its divisors is an integer number (47470500).

Almost surely, 2^3823044264 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 3823044264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076224000).

3823044264 is an abundant number, since it is smaller than the sum of its proper divisors (8329403736).

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

3823044264 is a wasteful number, since it uses less digits than its factorization.

3823044264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3823044264 is about 61830.7711742301. The cubic root of 3823044264 is about 1563.6388132966.

The spelling of 3823044264 in words is "three billion, eight hundred twenty-three million, forty-four thousand, two hundred sixty-four".