3429312 has 56 divisors (see below), whose sum is σ = 9272016. Its totient is φ = 1118208.

The previous prime is 3429301. The next prime is 3429331. The reversal of 3429312 is 2139243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10008 + ... + 10344.

Almost surely, 2^3429312 is an apocalyptic number.

3429312 is a gapful number since it is divisible by the number (32) 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 3429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636008).

3429312 is an abundant number, since it is smaller than the sum of its proper divisors (5842704).

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

3429312 is a wasteful number, since it uses less digits than its factorization.

3429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 3429312 is about 1851.8401658891. The cubic root of 3429312 is about 150.8003442874.

It can be divided in two parts, 3429 and 312, that added together give a triangular number (3741 = T₈₆).

The spelling of 3429312 in words is "three million, four hundred twenty-nine thousand, three hundred twelve".