3213077616 has 120 divisors (see below), whose sum is σ = 10326136704. Its totient is φ = 913610880.

The previous prime is 3213077611. The next prime is 3213077701. The reversal of 3213077616 is 6167703123.

3213077616 is a `hidden beast` number, since 3 + 2 + 1 + 30 + 7 + 7 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213077611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205135 + ... + 220241.

Almost surely, 2^3213077616 is an apocalyptic number.

3213077616 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 3213077616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163068352).

3213077616 is an abundant number, since it is smaller than the sum of its proper divisors (7113059088).

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

3213077616 is a wasteful number, since it uses less digits than its factorization.

3213077616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15339 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3213077616 is about 56684.0155246609. The cubic root of 3213077616 is about 1475.6173022411.

It can be divided in two parts, 32130 and 77616, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 3213077616 in words is "three billion, two hundred thirteen million, seventy-seven thousand, six hundred sixteen".