3904878624 has 96 divisors (see below), whose sum is σ = 10484800704. Its totient is φ = 1272176640.

The previous prime is 3904878619. The next prime is 3904878641. The reversal of 3904878624 is 4268784093.

3904878624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 789439 + ... + 794369.

It is an arithmetic number, because the mean of its divisors is an integer number (109216674).

Almost surely, 2^3904878624 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 3904878624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242400352).

3904878624 is an abundant number, since it is smaller than the sum of its proper divisors (6579922080).

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

3904878624 is a wasteful number, since it uses less digits than its factorization.

3904878624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3904878624 is about 62489.0280289268. The cubic root of 3904878624 is about 1574.7169894111.

The spelling of 3904878624 in words is "three billion, nine hundred four million, eight hundred seventy-eight thousand, six hundred twenty-four".