3904633728 has 128 divisors (see below), whose sum is σ = 11632896000. Its totient is φ = 1289258496.

The previous prime is 3904633699. The next prime is 3904633781. The reversal of 3904633728 is 8273364093.

3904633728 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 633 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3904633728³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 364513 + ... + 375071.

It is an arithmetic number, because the mean of its divisors is an integer number (90882000).

Almost surely, 2^3904633728 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 3904633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816448000).

3904633728 is an abundant number, since it is smaller than the sum of its proper divisors (7728262272).

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

3904633728 is a wasteful number, since it uses less digits than its factorization.

3904633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3904633728 is about 62487.0684862076. The cubic root of 3904633728 is about 1574.6840690576.

The spelling of 3904633728 in words is "three billion, nine hundred four million, six hundred thirty-three thousand, seven hundred twenty-eight".