3605290080 has 192 divisors, whose sum is σ = 13398110208. Its totient is φ = 797460480.

The previous prime is 3605289991. The next prime is 3605290093. The reversal of 3605290080 is 800925063.

It is a happy number.

It is a congruent number.

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, 86854 + ... + 121466.

It is an arithmetic number, because the mean of its divisors is an integer number (69781824).

Almost surely, 2^3605290080 is an apocalyptic number.

3605290080 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 3605290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699055104).

3605290080 is an abundant number, since it is smaller than the sum of its proper divisors (9792820128).

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

3605290080 is a wasteful number, since it uses less digits than its factorization.

3605290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34669 (or 34661 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3605290080 is about 60044.0678168960. The cubic root of 3605290080 is about 1533.3692081504.

The spelling of 3605290080 in words is "three billion, six hundred five million, two hundred ninety thousand, eighty".