3606268800 has 192 divisors, whose sum is σ = 12081369600. Its totient is φ = 945223680.

The previous prime is 3606268777. The next prime is 3606268823. The reversal of 3606268800 is 88626063.

3606268800 is digitally balanced in base 2, because in such base 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 (3606268777) and next prime (3606268823).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563217 + ... + 569583.

It is an arithmetic number, because the mean of its divisors is an integer number (62923800).

Almost surely, 2^3606268800 is an apocalyptic number.

3606268800 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 3606268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040684800).

3606268800 is an abundant number, since it is smaller than the sum of its proper divisors (8475100800).

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

3606268800 is a wasteful number, since it uses less digits than its factorization.

3606268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3606268800 is about 60052.2172779657. The cubic root of 3606268800 is about 1533.5079490281.

The spelling of 3606268800 in words is "three billion, six hundred six million, two hundred sixty-eight thousand, eight hundred".