3204777312 has 384 divisors, whose sum is σ = 10831242240. Its totient is φ = 923788800.

The previous prime is 3204777263. The next prime is 3204777337. The reversal of 3204777312 is 2137774023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17705862 + ... + 17706042.

It is an arithmetic number, because the mean of its divisors is an integer number (28206360).

Almost surely, 2^3204777312 is an apocalyptic number.

3204777312 is a gapful number since it is divisible by the number (32) 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 3204777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415621120).

3204777312 is an abundant number, since it is smaller than the sum of its proper divisors (7626464928).

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

3204777312 is a wasteful number, since it uses less digits than its factorization.

3204777312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 3204777312 is about 56610.7526182085. The cubic root of 3204777312 is about 1474.3455584917.

The spelling of 3204777312 in words is "three billion, two hundred four million, seven hundred seventy-seven thousand, three hundred twelve".