3429300 has 144 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 739200.

The previous prime is 3429299. The next prime is 3429301. The reversal of 3429300 is 39243.

3429300 = 11² + 12² + ... + 217².

3429300 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3429299) and next prime (3429301).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429301) 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 47 ways as a sum of consecutive naturals, for example, 48265 + ... + 48335.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

Almost surely, 2^3429300 is an apocalyptic number.

3429300 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 3429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3429300 is an abundant number, since it is smaller than the sum of its proper divisors (8569932).

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

3429300 is a wasteful number, since it uses less digits than its factorization.

3429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3429300 is about 1851.8369258658. The cubic root of 3429300 is about 150.8001683914.

The spelling of 3429300 in words is "three million, four hundred twenty-nine thousand, three hundred".