3904640448 has 224 divisors, whose sum is σ = 11455603200. Its totient is φ = 1168257024.

The previous prime is 3904640407. The next prime is 3904640459. The reversal of 3904640448 is 8440464093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14515258 + ... + 14515526.

Almost surely, 2^3904640448 is an apocalyptic number.

3904640448 is a gapful number since it is divisible by the number (38) 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 3904640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727801600).

3904640448 is an abundant number, since it is smaller than the sum of its proper divisors (7550962752).

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

3904640448 is a wasteful number, since it uses less digits than its factorization.

3904640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3904640448 is about 62487.1222573099. The cubic root of 3904640448 is about 1574.6849724177.

The spelling of 3904640448 in words is "three billion, nine hundred four million, six hundred forty thousand, four hundred forty-eight".