3274406496 has 288 divisors, whose sum is σ = 10273536000. Its totient is φ = 985374720.

The previous prime is 3274406491. The next prime is 3274406497. The reversal of 3274406496 is 6946044723.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3274406491) 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, 16454205 + ... + 16454403.

It is an arithmetic number, because the mean of its divisors is an integer number (35672000).

Almost surely, 2^3274406496 is an apocalyptic number.

3274406496 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 3274406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768000).

3274406496 is an abundant number, since it is smaller than the sum of its proper divisors (6999129504).

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

3274406496 is a wasteful number, since it uses less digits than its factorization.

3274406496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3274406496 is about 57222.4300078212. The cubic root of 3274406496 is about 1484.9466960427.

The spelling of 3274406496 in words is "three billion, two hundred seventy-four million, four hundred six thousand, four hundred ninety-six".