3006777420 has 288 divisors, whose sum is σ = 10321758720. Its totient is φ = 704471040.

The previous prime is 3006777409. The next prime is 3006777439. The reversal of 3006777420 is 247776003.

3006777420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750394 + ... + 2751486.

It is an arithmetic number, because the mean of its divisors is an integer number (35839440).

Almost surely, 2^3006777420 is an apocalyptic number.

3006777420 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 3006777420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160879360).

3006777420 is an abundant number, since it is smaller than the sum of its proper divisors (7314981300).

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

3006777420 is a wasteful number, since it uses less digits than its factorization.

3006777420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 3006777420 is about 54834.0899441214. The cubic root of 3006777420 is about 1443.3348346939.

The spelling of 3006777420 in words is "three billion, six million, seven hundred seventy-seven thousand, four hundred twenty".