3403734000640 has 88 divisors (see below), whose sum is σ = 8245815418872. Its totient is φ = 1348013260800.

The previous prime is 3403734000631. The next prime is 3403734000679. The reversal of 3403734000640 is 460004373043.

It can be written as a sum of positive squares in 4 ways, for example, as 545849081856 + 2857884918784 = 738816^2 + 1690528^2 .

It is a super-2 number, since 2×3403734000640² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3403734000596 and 3403734000605.

It is an unprimeable number.

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, 2773929 + ... + 3808168.

Almost surely, 2^{3403734000640} is an apocalyptic number.

It is an amenable number.

3403734000640 is an abundant number, since it is smaller than the sum of its proper divisors (4842081418232).

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

3403734000640 is a wasteful number, since it uses less digits than its factorization.

3403734000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582223 (or 6582205 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 34.

Adding to 3403734000640 its reverse (460004373043), we get a palindrome (3863738373683).

The spelling of 3403734000640 in words is "three trillion, four hundred three billion, seven hundred thirty-four million, six hundred forty", and thus it is an aban number.