3606628896 has 288 divisors, whose sum is σ = 11861982720. Its totient is φ = 1059734016.

The previous prime is 3606628889. The next prime is 3606628903. The reversal of 3606628896 is 6988266063.

3606628896 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 628 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3606628889) and next prime (3606628903).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5941425 + ... + 5942031.

It is an arithmetic number, because the mean of its divisors is an integer number (41187440).

Almost surely, 2^3606628896 is an apocalyptic number.

3606628896 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 3606628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930991360).

3606628896 is an abundant number, since it is smaller than the sum of its proper divisors (8255353824).

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

3606628896 is a wasteful number, since it uses less digits than its factorization.

3606628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3606628896 is about 60055.2153938357. The cubic root of 3606628896 is about 1533.5589890116.

The spelling of 3606628896 in words is "three billion, six hundred six million, six hundred twenty-eight thousand, eight hundred ninety-six".