3206077056 has 576 divisors, whose sum is σ = 12285098280. Its totient is φ = 792723456.

The previous prime is 3206077031. The next prime is 3206077057. The reversal of 3206077056 is 6507706023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3167438400 + 38638656 = 56280^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3206077056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3206077057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12474880 + ... + 12475136.

Almost surely, 2^3206077056 is an apocalyptic number.

3206077056 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 3206077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142549140).

3206077056 is an abundant number, since it is smaller than the sum of its proper divisors (9079021224).

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

3206077056 is a wasteful number, since it uses less digits than its factorization.

3206077056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3206077056 is about 56622.2311111104. The cubic root of 3206077056 is about 1474.5448456401.

The spelling of 3206077056 in words is "three billion, two hundred six million, seventy-seven thousand, fifty-six".