3400456309 has 16 divisors (see below), whose sum is σ = 3592802304. Its totient is φ = 3213849600.

The previous prime is 3400456307. The next prime is 3400456333. The reversal of 3400456309 is 9036540043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3400456309 - 2¹ = 3400456307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400456303) 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, 361749 + ... + 371029.

It is an arithmetic number, because the mean of its divisors is an integer number (224550144).

Almost surely, 2^3400456309 is an apocalyptic number.

It is an amenable number.

3400456309 is a deficient number, since it is larger than the sum of its proper divisors (192345995).

3400456309 is a wasteful number, since it uses less digits than its factorization.

3400456309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588.

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 3400456309 is about 58313.4316345728. The cubic root of 3400456309 is about 1503.7618627426.

The spelling of 3400456309 in words is "three billion, four hundred million, four hundred fifty-six thousand, three hundred nine".