3905537328 has 480 divisors, whose sum is σ = 14273086464. Its totient is φ = 975744000.

The previous prime is 3905537327. The next prime is 3905537341. The reversal of 3905537328 is 8237355093.

3905537328 is a `hidden beast` number, since 3 + 9 + 0 + 553 + 73 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (3905537323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55007533 + ... + 55007603.

Almost surely, 2^3905537328 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 3905537328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136543232).

3905537328 is an abundant number, since it is smaller than the sum of its proper divisors (10367549136).

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

3905537328 is a wasteful number, since it uses less digits than its factorization.

3905537328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3905537328 is about 62494.2983639308. The cubic root of 3905537328 is about 1574.8055294282.

The spelling of 3905537328 in words is "three billion, nine hundred five million, five hundred thirty-seven thousand, three hundred twenty-eight".