3213516416 has 64 divisors (see below), whose sum is σ = 6996922560. Its totient is φ = 1457971200.

The previous prime is 3213516403. The next prime is 3213516457. The reversal of 3213516416 is 6146153123.

3213516416 is digitally balanced in base 2, because in such base 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886640 + ... + 890256.

It is an arithmetic number, because the mean of its divisors is an integer number (109326915).

Almost surely, 2^3213516416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498461280).

3213516416 is an abundant number, since it is smaller than the sum of its proper divisors (3783406144).

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

3213516416 is a wasteful number, since it uses less digits than its factorization.

3213516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4261 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 3213516416 is about 56687.8859722251. The cubic root of 3213516416 is about 1475.6844726694.

Adding to 3213516416 its reverse (6146153123), we get a palindrome (9359669539).

The spelling of 3213516416 in words is "three billion, two hundred thirteen million, five hundred sixteen thousand, four hundred sixteen".