3536241408 has 432 divisors, whose sum is σ = 12457035360. Its totient is φ = 986259456.

The previous prime is 3536241377. The next prime is 3536241437. The reversal of 3536241408 is 8041426353.

3536241408 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 241 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17950366 + ... + 17950562.

It is an arithmetic number, because the mean of its divisors is an integer number (28835730).

Almost surely, 2^3536241408 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 3536241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228517680).

3536241408 is an abundant number, since it is smaller than the sum of its proper divisors (8920793952).

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

3536241408 is a wasteful number, since it uses less digits than its factorization.

3536241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3536241408 is about 59466.3048120530. The cubic root of 3536241408 is about 1523.5169899673.

The spelling of 3536241408 in words is "three billion, five hundred thirty-six million, two hundred forty-one thousand, four hundred eight".