34001409 has 16 divisors (see below), whose sum is σ = 50144192. Its totient is φ = 20357568.

The previous prime is 34001399. The next prime is 34001413. The reversal of 34001409 is 90410043.

It is not a de Polignac number, because 34001409 - 2¹⁶ = 33935873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34001509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10339 + ... + 13224.

It is an arithmetic number, because the mean of its divisors is an integer number (3134012).

Almost surely, 2^34001409 is an apocalyptic number.

34001409 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34001409 is a deficient number, since it is larger than the sum of its proper divisors (16142783).

34001409 is a wasteful number, since it uses less digits than its factorization.

34001409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23616.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 34001409 is about 5831.0727143468. The cubic root of 34001409 is about 323.9656551767.

The spelling of 34001409 in words is "thirty-four million, one thousand, four hundred nine".