3802558464 has 312 divisors, whose sum is σ = 11883502800. Its totient is φ = 1167851520.

The previous prime is 3802558447. The next prime is 3802558469. The reversal of 3802558464 is 4648552083.

3802558464 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 5 + 584 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802558469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42725332 + ... + 42725420.

It is an arithmetic number, because the mean of its divisors is an integer number (38088150).

Almost surely, 2^3802558464 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 3802558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941751400).

3802558464 is an abundant number, since it is smaller than the sum of its proper divisors (8080944336).

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

3802558464 is a wasteful number, since it uses less digits than its factorization.

3802558464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3802558464 is about 61664.8884212077. Note that the first 3 decimals coincide. The cubic root of 3802558464 is about 1560.8408878771.

The spelling of 3802558464 in words is "three billion, eight hundred two million, five hundred fifty-eight thousand, four hundred sixty-four".