3429864 has 80 divisors (see below), whose sum is σ = 9873600. Its totient is φ = 1111968.

The previous prime is 3429857. The next prime is 3429883. The reversal of 3429864 is 4689243.

It is a happy number.

3429864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3429864³ (a number of 21 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 43377 + ... + 43455.

It is an arithmetic number, because the mean of its divisors is an integer number (123420).

Almost surely, 2^3429864 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 3429864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936800).

3429864 is an abundant number, since it is smaller than the sum of its proper divisors (6443736).

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

3429864 is a wasteful number, since it uses less digits than its factorization.

3429864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3429864 is about 1851.9892008324. The cubic root of 3429864 is about 150.8084350574.

The spelling of 3429864 in words is "three million, four hundred twenty-nine thousand, eight hundred sixty-four".