3279993440 has 144 divisors (see below), whose sum is σ = 8259076224. Its totient is φ = 1228953600.

The previous prime is 3279993433. The next prime is 3279993443. The reversal of 3279993440 is 443999723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3279993443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25826657 + ... + 25826783.

It is an arithmetic number, because the mean of its divisors is an integer number (57354696).

Almost surely, 2^3279993440 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 3279993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129538112).

3279993440 is an abundant number, since it is smaller than the sum of its proper divisors (4979082784).

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

3279993440 is a wasteful number, since it uses less digits than its factorization.

3279993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 50.

The square root of 3279993440 is about 57271.2269817925. The cubic root of 3279993440 is about 1485.7907777608.

The spelling of 3279993440 in words is "three billion, two hundred seventy-nine million, nine hundred ninety-three thousand, four hundred forty".