3883624704 has 360 divisors, whose sum is σ = 12821276160. Its totient is φ = 1162985472.

The previous prime is 3883624607. The next prime is 3883624709. The reversal of 3883624704 is 4074263883.

3883624704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3883624704.

It is not an unprimeable number, because it can be changed into a prime (3883624709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8107537 + ... + 8108015.

It is an arithmetic number, because the mean of its divisors is an integer number (35614656).

Almost surely, 2^3883624704 is an apocalyptic number.

3883624704 is a gapful number since it is divisible by the number (34) 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 3883624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638080).

3883624704 is an abundant number, since it is smaller than the sum of its proper divisors (8937651456).

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

3883624704 is a wasteful number, since it uses less digits than its factorization.

3883624704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3883624704 is about 62318.7347753467. The cubic root of 3883624704 is about 1571.8547736010.

The spelling of 3883624704 in words is "three billion, eight hundred eighty-three million, six hundred twenty-four thousand, seven hundred four".