3270040704 has 384 divisors, whose sum is σ = 11297095680. Its totient is φ = 888330240.

The previous prime is 3270040703. The next prime is 3270040757. The reversal of 3270040704 is 4070400723.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3270040703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25748289 + ... + 25748415.

It is an arithmetic number, because the mean of its divisors is an integer number (29419520).

Almost surely, 2^3270040704 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 3270040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648547840).

3270040704 is an abundant number, since it is smaller than the sum of its proper divisors (8027054976).

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

3270040704 is a wasteful number, since it uses less digits than its factorization.

3270040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3270040704 is about 57184.2697251613. The cubic root of 3270040704 is about 1484.2864388007.

The spelling of 3270040704 in words is "three billion, two hundred seventy million, forty thousand, seven hundred four".