3604058880 has 144 divisors (see below), whose sum is σ = 11535224064. Its totient is φ = 959016960.

The previous prime is 3604058879. The next prime is 3604058891. The reversal of 3604058880 is 888504063.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791035 + ... + 2792325.

Almost surely, 2^3604058880 is an apocalyptic number.

3604058880 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 3604058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767612032).

3604058880 is an abundant number, since it is smaller than the sum of its proper divisors (7931165184).

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

3604058880 is a wasteful number, since it uses less digits than its factorization.

3604058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 3604058880 is about 60033.8144715126. The cubic root of 3604058880 is about 1533.1946406795.

The spelling of 3604058880 in words is "three billion, six hundred four million, fifty-eight thousand, eight hundred eighty".