3604281408 has 224 divisors, whose sum is σ = 13041701120. Its totient is φ = 950538240.

The previous prime is 3604281397. The next prime is 3604281413. The reversal of 3604281408 is 8041824063.

3604281408 is a `hidden beast` number, since 3 + 604 + 2 + 8 + 1 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 145788 + ... + 168708.

It is an arithmetic number, because the mean of its divisors is an integer number (58221880).

Almost surely, 2^3604281408 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 3604281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520850560).

3604281408 is an abundant number, since it is smaller than the sum of its proper divisors (9437419712).

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

3604281408 is a wasteful number, since it uses less digits than its factorization.

3604281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962 (or 22946 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3604281408 is about 60035.6677984013. The cubic root of 3604281408 is about 1533.2261950766.

The spelling of 3604281408 in words is "three billion, six hundred four million, two hundred eighty-one thousand, four hundred eight".