3000661200 has 180 divisors, whose sum is σ = 10799149088. Its totient is φ = 800150400.

The previous prime is 3000661193. The next prime is 3000661229. The reversal of 3000661200 is 21660003.

It is a happy number.

3000661200 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 661 + 2 + 0 + 0 = 666.

3000661200 is digitally balanced in base 2 and base 4, because in such bases 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81765 + ... + 112635.

Almost surely, 2^3000661200 is an apocalyptic number.

3000661200 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 3000661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399574544).

3000661200 is an abundant number, since it is smaller than the sum of its proper divisors (7798487888).

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

3000661200 is a wasteful number, since it uses less digits than its factorization.

3000661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30904 (or 30881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3000661200 is about 54778.2913205587. The cubic root of 3000661200 is about 1442.3555197925.

The spelling of 3000661200 in words is "three billion, six hundred sixty-one thousand, two hundred".