3904766944 has 192 divisors, whose sum is σ = 9053130240. Its totient is φ = 1643765760.

The previous prime is 3904766933. The next prime is 3904766947. The reversal of 3904766944 is 4496674093.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3904766891 and 3904766900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904766947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19821054 + ... + 19821250.

It is an arithmetic number, because the mean of its divisors is an integer number (47151720).

It is the magic constant of a 1984 × 1984 magic square.

Almost surely, 2^3904766944 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 3904766944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526565120).

3904766944 is an abundant number, since it is smaller than the sum of its proper divisors (5148363296).

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

3904766944 is a wasteful number, since it uses less digits than its factorization.

3904766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The square root of 3904766944 is about 62488.1344256652. The cubic root of 3904766944 is about 1574.7019769027.

The spelling of 3904766944 in words is "three billion, nine hundred four million, seven hundred sixty-six thousand, nine hundred forty-four".