3603345408 has 312 divisors, whose sum is σ = 11472904352. Its totient is φ = 1082916864.

The previous prime is 3603345391. The next prime is 3603345437. The reversal of 3603345408 is 8045433063.

3603345408 is a `hidden beast` number, since 3 + 603 + 3 + 4 + 5 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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 23 ways as a sum of consecutive naturals, for example, 34983885 + ... + 34983987.

Almost surely, 2^3603345408 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 3603345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736452176).

3603345408 is an abundant number, since it is smaller than the sum of its proper divisors (7869558944).

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

3603345408 is a wasteful number, since it uses less digits than its factorization.

3603345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3603345408 is about 60027.8719262977. The cubic root of 3603345408 is about 1533.0934618258.

The spelling of 3603345408 in words is "three billion, six hundred three million, three hundred forty-five thousand, four hundred eight".