3605950656 has 448 divisors, whose sum is σ = 13559454720. Its totient is φ = 912384000.

The previous prime is 3605950651. The next prime is 3605950669. The reversal of 3605950656 is 6560595063.

3605950656 is a `hidden beast` number, since 3 + 6 + 0 + 595 + 0 + 6 + 56 = 666.

3605950656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (3605950651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5454966 + ... + 5455626.

It is an arithmetic number, because the mean of its divisors is an integer number (30266640).

Almost surely, 2^3605950656 is an apocalyptic number.

3605950656 is a gapful number since it is divisible by the number (36) 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 3605950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779727360).

3605950656 is an abundant number, since it is smaller than the sum of its proper divisors (9953504064).

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

3605950656 is a wasteful number, since it uses less digits than its factorization.

3605950656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 3605950656 is about 60049.5683248431. The cubic root of 3605950656 is about 1533.4628524914.

The spelling of 3605950656 in words is "three billion, six hundred five million, nine hundred fifty thousand, six hundred fifty-six".