3605880960 has 192 divisors, whose sum is σ = 13583756160. Its totient is φ = 874137600.

The previous prime is 3605880877. The next prime is 3605880961. The reversal of 3605880960 is 690885063.

3605880960 is a `hidden beast` number, since 3 + 6 + 0 + 588 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3605880961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34905 + ... + 91815.

It is an arithmetic number, because the mean of its divisors is an integer number (70748730).

Almost surely, 2^3605880960 is an apocalyptic number.

3605880960 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 3605880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791878080).

3605880960 is an abundant number, since it is smaller than the sum of its proper divisors (9977875200).

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

3605880960 is a wasteful number, since it uses less digits than its factorization.

3605880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56947 (or 56932 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3605880960 is about 60048.9880014643. The cubic root of 3605880960 is about 1533.4529728114.

The spelling of 3605880960 in words is "three billion, six hundred five million, eight hundred eighty thousand, nine hundred sixty".