3605478912 has 640 divisors, whose sum is σ = 13434854400. Its totient is φ = 931627008.

The previous prime is 3605478887. The next prime is 3605478937. The reversal of 3605478912 is 2198745063.

3605478912 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3605478887) and next prime (3605478937).

It is a super-3 number, since 3×3605478912³ (a number of 30 digits) contains 333 as substring.

3605478912 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68027878 + ... + 68027930.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

It is a 1-persistent number, because it is pandigital, but 2⋅3605478912 = 7210957824 is not.

Almost surely, 2^3605478912 is an apocalyptic number.

3605478912 is a gapful number since it is divisible by the number (32) 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 3605478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717427200).

3605478912 is an abundant number, since it is smaller than the sum of its proper divisors (9829375488).

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

3605478912 is a wasteful number, since it uses less digits than its factorization.

3605478912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3605478912 is about 60045.6402414030. The cubic root of 3605478912 is about 1533.3959784530.

The spelling of 3605478912 in words is "three billion, six hundred five million, four hundred seventy-eight thousand, nine hundred twelve".