3581601408 has 512 divisors, whose sum is σ = 13528627200. Its totient is φ = 905748480.

The previous prime is 3581601407. The next prime is 3581601427. The reversal of 3581601408 is 8041061853.

3581601408 is a `hidden beast` number, since 3 + 5 + 8 + 1 + 601 + 40 + 8 = 666.

3581601408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3581601407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11442660 + ... + 11442972.

It is an arithmetic number, because the mean of its divisors is an integer number (26423100).

Almost surely, 2^3581601408 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 3581601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764313600).

3581601408 is an abundant number, since it is smaller than the sum of its proper divisors (9947025792).

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

3581601408 is a wasteful number, since it uses less digits than its factorization.

3581601408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3581601408 is about 59846.4820018687. The cubic root of 3581601408 is about 1530.0034755784.

The spelling of 3581601408 in words is "three billion, five hundred eighty-one million, six hundred one thousand, four hundred eight".