3394266880 has 144 divisors (see below), whose sum is σ = 8478054144. Its totient is φ = 1300561920.

The previous prime is 3394266809. The next prime is 3394266881. The reversal of 3394266880 is 886624933.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394266881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4483462 + ... + 4484218.

It is an arithmetic number, because the mean of its divisors is an integer number (58875376).

Almost surely, 2^3394266880 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 3394266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239027072).

3394266880 is an abundant number, since it is smaller than the sum of its proper divisors (5083787264).

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

3394266880 is a wasteful number, since it uses less digits than its factorization.

3394266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The square root of 3394266880 is about 58260.3371085338. The cubic root of 3394266880 is about 1502.8489382010.

The spelling of 3394266880 in words is "three billion, three hundred ninety-four million, two hundred sixty-six thousand, eight hundred eighty".