3394402200 has 480 divisors, whose sum is σ = 13854693600. Its totient is φ = 753960960.

The previous prime is 3394402171. The next prime is 3394402201. The reversal of 3394402200 is 22044933.

It is a happy number.

3394402200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394402201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4195396 + ... + 4196204.

It is an arithmetic number, because the mean of its divisors is an integer number (28863945).

Almost surely, 2^3394402200 is an apocalyptic number.

3394402200 is a gapful number since it is divisible by the number (30) 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 3394402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927346800).

3394402200 is an abundant number, since it is smaller than the sum of its proper divisors (10460291400).

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

3394402200 is a wasteful number, since it uses less digits than its factorization.

3394402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3394402200 is about 58261.4984359311. The cubic root of 3394402200 is about 1502.8689094077.

The spelling of 3394402200 in words is "three billion, three hundred ninety-four million, four hundred two thousand, two hundred".