3402434131617 has 8 divisors (see below), whose sum is σ = 4549577636800. Its totient is φ = 2261790023760.

The previous prime is 3402434131601. The next prime is 3402434131633. The reversal of 3402434131617 is 7161314342043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3402434131601) and next prime (3402434131633).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3402434131617 - 2⁴ = 3402434131601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3402434031617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1624848109 + ... + 1624850202.

It is an arithmetic number, because the mean of its divisors is an integer number (568697204600).

Almost surely, 2^{3402434131617} is an apocalyptic number.

It is an amenable number.

3402434131617 is a deficient number, since it is larger than the sum of its proper divisors (1147143505183).

3402434131617 is a wasteful number, since it uses less digits than its factorization.

3402434131617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249698663.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 3402434131617 in words is "three trillion, four hundred two billion, four hundred thirty-four million, one hundred thirty-one thousand, six hundred seventeen".