3394227600 has 135 divisors (see below), whose sum is σ = 11791055809. Its totient is φ = 904195200.

The previous prime is 3394227539. The next prime is 3394227611. The reversal of 3394227600 is 67224933.

It is a happy number.

The square root of 3394227600 is 58260.

It is a perfect power (a square), and thus also a powerful number.

3394227600 is a `hidden beast` number, since 3 + 3 + 9 + 42 + 2 + 7 + 600 = 666.

3394227600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1221921936 + 2172305664 = 34956^2 + 46608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3495115 + ... + 3496085.

Almost surely, 2^3394227600 is an apocalyptic number.

3394227600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3394227600 is the 58260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394227600

3394227600 is an abundant number, since it is smaller than the sum of its proper divisors (8396828209).

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

3394227600 is an equidigital number, since it uses as much as digits as its factorization.

3394227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The cubic root of 3394227600 is about 1502.8431409615.

Multiplying 3394227600 by its sum of digits (36), we get a square (122192193600 = 349560²).

3394227600 divided by its sum of digits (36) gives a square (94284100 = 9710²).

The spelling of 3394227600 in words is "three billion, three hundred ninety-four million, two hundred twenty-seven thousand, six hundred".