3429664 has 48 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 1440000.

The previous prime is 3429661. The next prime is 3429667. The reversal of 3429664 is 4669243.

It is an interprime number because it is at equal distance from previous prime (3429661) and next prime (3429667).

It is a d-powerful number, because it can be written as 3¹³ + 4⁹ + 2¹⁹ + 9² + 6² + 6³ + 4¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (3429661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13539 + ... + 13789.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 2^3429664 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 3429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

3429664 is an abundant number, since it is smaller than the sum of its proper divisors (4444832).

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

3429664 is a wasteful number, since it uses less digits than its factorization.

3429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 3429664 is about 1851.9352040501. The cubic root of 3429664 is about 150.8055037193.

The spelling of 3429664 in words is "three million, four hundred twenty-nine thousand, six hundred sixty-four".