3605004000 has 288 divisors, whose sum is σ = 13780113984. Its totient is φ = 887270400.

The previous prime is 3605003999. The next prime is 3605004019. The reversal of 3605004000 is 4005063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 464149 + ... + 471851.

It is an arithmetic number, because the mean of its divisors is an integer number (47847618).

Almost surely, 2^3605004000 is an apocalyptic number.

3605004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3605004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890056992).

3605004000 is an abundant number, since it is smaller than the sum of its proper divisors (10175109984).

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

3605004000 is a wasteful number, since it uses less digits than its factorization.

3605004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3605004000 is about 60041.6855193123. The cubic root of 3605004000 is about 1533.3286494291.

Adding to 3605004000 its reverse (4005063), we get a palindrome (3609009063).

The spelling of 3605004000 in words is "three billion, six hundred five million, four thousand".