3434680656 has 120 divisors (see below), whose sum is σ = 10847921760. Its totient is φ = 1004908800.

The previous prime is 3434680649. The next prime is 3434680657. The reversal of 3434680656 is 6560864343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434680657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8551 + ... + 83321.

It is an arithmetic number, because the mean of its divisors is an integer number (90399348).

Almost surely, 2^3434680656 is an apocalyptic number.

3434680656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434680656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423960880).

3434680656 is an abundant number, since it is smaller than the sum of its proper divisors (7413241104).

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

3434680656 is a wasteful number, since it uses less digits than its factorization.

3434680656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74825 (or 74816 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3434680656 is about 58606.1486194068. The cubic root of 3434680656 is about 1508.7899690158.

The spelling of 3434680656 in words is "three billion, four hundred thirty-four million, six hundred eighty thousand, six hundred fifty-six".