3429405 has 64 divisors (see below), whose sum is σ = 7372800. Its totient is φ = 1477440.

The previous prime is 3429403. The next prime is 3429409. The reversal of 3429405 is 5049243.

It is not a de Polignac number, because 3429405 - 2¹ = 3429403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17860 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

Almost surely, 2^3429405 is an apocalyptic number.

3429405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3429405 is an abundant number, since it is smaller than the sum of its proper divisors (3943395).

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

3429405 is a wasteful number, since it uses less digits than its factorization.

3429405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3429405 is about 1851.8652758773. The cubic root of 3429405 is about 150.8017074671.

The spelling of 3429405 in words is "three million, four hundred twenty-nine thousand, four hundred five".