3406294944 has 120 divisors (see below), whose sum is σ = 10788526980. Its totient is φ = 1048080384.

The previous prime is 3406294943. The next prime is 3406294949. The reversal of 3406294944 is 4494926043.

It can be written as a sum of positive squares in 2 ways, for example, as 2850278544 + 556016400 = 53388^2 + 23580^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3406294944.

It is not an unprimeable number, because it can be changed into a prime (3406294943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16849 + ... + 84240.

Almost surely, 2^3406294944 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 3406294944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394263490).

3406294944 is an abundant number, since it is smaller than the sum of its proper divisors (7382232036).

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

3406294944 is a wasteful number, since it uses less digits than its factorization.

3406294944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101124 (or 101107 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3406294944 is about 58363.4726862616. The cubic root of 3406294944 is about 1504.6220312564.

The spelling of 3406294944 in words is "three billion, four hundred six million, two hundred ninety-four thousand, nine hundred forty-four".