3538282464 has 144 divisors (see below), whose sum is σ = 10838790144. Its totient is φ = 1091692800.

The previous prime is 3538282393. The next prime is 3538282481. The reversal of 3538282464 is 4642828353.

3538282464 is a `hidden beast` number, since 35 + 3 + 82 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3538282464² = 25038885590099822592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196729 + ... + 213959.

It is an arithmetic number, because the mean of its divisors is an integer number (75269376).

Almost surely, 2^3538282464 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 3538282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419395072).

3538282464 is an abundant number, since it is smaller than the sum of its proper divisors (7300507680).

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

3538282464 is a wasteful number, since it uses less digits than its factorization.

3538282464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17301 (or 17290 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3538282464 is about 59483.4637861650. The cubic root of 3538282464 is about 1523.8100492791.

The spelling of 3538282464 in words is "three billion, five hundred thirty-eight million, two hundred eighty-two thousand, four hundred sixty-four".