3903218496 has 448 divisors, whose sum is σ = 13035686400. Its totient is φ = 1138655232.

The previous prime is 3903218477. The next prime is 3903218497. The reversal of 3903218496 is 6948123093.

It is a happy number.

3903218496 is a `hidden beast` number, since 390 + 3 + 218 + 49 + 6 = 666.

It is a super-2 number, since 2×3903218496² = 30470229255033004032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3903218497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35809290 + ... + 35809398.

Almost surely, 2^3903218496 is an apocalyptic number.

3903218496 is a gapful number since it is divisible by the number (36) 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 3903218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517843200).

3903218496 is an abundant number, since it is smaller than the sum of its proper divisors (9132467904).

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

3903218496 is a wasteful number, since it uses less digits than its factorization.

3903218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3903218496 is about 62475.7432608849. The cubic root of 3903218496 is about 1574.4937983230.

The spelling of 3903218496 in words is "three billion, nine hundred three million, two hundred eighteen thousand, four hundred ninety-six".