3584355138 has 240 divisors, whose sum is σ = 10139722560. Its totient is φ = 926370432.

The previous prime is 3584355133. The next prime is 3584355199. The reversal of 3584355138 is 8315534853.

3584355138 is a `hidden beast` number, since 3 + 58 + 43 + 551 + 3 + 8 = 666.

3584355138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3584355093 and 3584355102.

It is not an unprimeable number, because it can be changed into a prime (3584355133) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11306956 + ... + 11307272.

It is an arithmetic number, because the mean of its divisors is an integer number (42248844).

Almost surely, 2^3584355138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3584355138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069861280).

3584355138 is an abundant number, since it is smaller than the sum of its proper divisors (6555367422).

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

3584355138 is a wasteful number, since it uses less digits than its factorization.

3584355138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 3584355138 is about 59869.4841968761. The cubic root of 3584355138 is about 1530.3954917623.

The spelling of 3584355138 in words is "three billion, five hundred eighty-four million, three hundred fifty-five thousand, one hundred thirty-eight".