3204466272 has 288 divisors, whose sum is σ = 11438848512. Its totient is φ = 861456384.

The previous prime is 3204466267. The next prime is 3204466303. The reversal of 3204466272 is 2726644023.

3204466272 is a `hidden beast` number, since 3 + 20 + 4 + 4 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923613 + ... + 927075.

It is an arithmetic number, because the mean of its divisors is an integer number (39718224).

Almost surely, 2^3204466272 is an apocalyptic number.

3204466272 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 3204466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719424256).

3204466272 is an abundant number, since it is smaller than the sum of its proper divisors (8234382240).

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

3204466272 is a wasteful number, since it uses less digits than its factorization.

3204466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3204466272 is about 56608.0053702654. The cubic root of 3204466272 is about 1474.2978593607.

The spelling of 3204466272 in words is "three billion, two hundred four million, four hundred sixty-six thousand, two hundred seventy-two".