3213858816 has 576 divisors, whose sum is σ = 11982297600. Its totient is φ = 832094208.

The previous prime is 3213858811. The next prime is 3213858859. The reversal of 3213858816 is 6188583123.

3213858816 is a `hidden beast` number, since 3 + 21 + 38 + 588 + 16 = 666.

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

Its product of digits (276480) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213858811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139732981 + ... + 139733003.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^3213858816 is an apocalyptic number.

3213858816 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 3213858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3213858816 is an abundant number, since it is smaller than the sum of its proper divisors (8768438784).

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

3213858816 is a wasteful number, since it uses less digits than its factorization.

3213858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 3213858816 is about 56690.9059373724. The cubic root of 3213858816 is about 1475.7368821749.

The spelling of 3213858816 in words is "three billion, two hundred thirteen million, eight hundred fifty-eight thousand, eight hundred sixteen".