3400334000734 has 64 divisors (see below), whose sum is σ = 5911151904000. Its totient is φ = 1449837043200.

The previous prime is 3400334000731. The next prime is 3400334000737. The reversal of 3400334000734 is 4370004330043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3400334000731) and next prime (3400334000737).

It is a junction number, because it is equal to n+sod(n) for n = 3400334000696 and 3400334000705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400334000731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356461737 + ... + 356471275.

It is an arithmetic number, because the mean of its divisors is an integer number (92361748500).

Almost surely, 2^{3400334000734} is an apocalyptic number.

3400334000734 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3400334000734 is a deficient number, since it is larger than the sum of its proper divisors (2510817903266).

3400334000734 is a wasteful number, since it uses less digits than its factorization.

3400334000734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12649.

The product of its (nonzero) digits is 36288, while the sum is 31.

Adding to 3400334000734 its reverse (4370004330043), we get a palindrome (7770338330777).

The spelling of 3400334000734 in words is "three trillion, four hundred billion, three hundred thirty-four million, seven hundred thirty-four", and thus it is an aban number.