3204971616 has 288 divisors, whose sum is σ = 11144625408. Its totient is φ = 795970560.

The previous prime is 3204971603. The next prime is 3204971641. The reversal of 3204971616 is 6161794023.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188766 + ... + 1191458.

It is an arithmetic number, because the mean of its divisors is an integer number (38696616).

Almost surely, 2^3204971616 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 3204971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572312704).

3204971616 is an abundant number, since it is smaller than the sum of its proper divisors (7939653792).

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

3204971616 is a wasteful number, since it uses less digits than its factorization.

3204971616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3204971616 is about 56612.4687326034. The cubic root of 3204971616 is about 1474.3753541605.

The spelling of 3204971616 in words is "three billion, two hundred four million, nine hundred seventy-one thousand, six hundred sixteen".