3036009600 has 960 divisors, whose sum is σ = 13016120040. Its totient is φ = 690094080.

The previous prime is 3036009541. The next prime is 3036009611. The reversal of 3036009600 is 69006303.

It can be written as a sum of positive squares in 12 ways, for example, as 296115264 + 2739894336 = 17208^2 + 52344^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57283174 + ... + 57283226.

Almost surely, 2^3036009600 is an apocalyptic number.

3036009600 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 3036009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508060020).

3036009600 is an abundant number, since it is smaller than the sum of its proper divisors (9980110440).

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

3036009600 is a wasteful number, since it uses less digits than its factorization.

3036009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3036009600 is about 55099.9963702358. The cubic root of 3036009600 is about 1447.9971714280.

The spelling of 3036009600 in words is "three billion, thirty-six million, nine thousand, six hundred".