3429376 has 44 divisors (see below), whose sum is σ = 7295508. Its totient is φ = 1605632.

The previous prime is 3429373. The next prime is 3429389. The reversal of 3429376 is 6739243.

It can be written as a sum of positive squares in 2 ways, for example, as 3097600 + 331776 = 1760^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (27216) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17310 + ... + 17506.

It is an arithmetic number, because the mean of its divisors is an integer number (165807).

Almost surely, 2^3429376 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 3429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647754).

3429376 is an abundant number, since it is smaller than the sum of its proper divisors (3866132).

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

3429376 is a wasteful number, since it uses less digits than its factorization.

3429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 3429376 is about 1851.8574459175. The cubic root of 3429376 is about 150.8012823922.

The spelling of 3429376 in words is "three million, four hundred twenty-nine thousand, three hundred seventy-six".