3420135680 has 72 divisors (see below), whose sum is σ = 8822513112. Its totient is φ = 1262813184.

The previous prime is 3420135643. The next prime is 3420135689. The reversal of 3420135680 is 865310243.

It can be written as a sum of positive squares in 4 ways, for example, as 5837056 + 3414298624 = 2416^2 + 58432^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3420135689) 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 7 ways as a sum of consecutive naturals, for example, 86129 + ... + 119408.

Almost surely, 2^3420135680 is an apocalyptic number.

It is an amenable number.

3420135680 is an abundant number, since it is smaller than the sum of its proper divisors (5402377432).

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

3420135680 is a wasteful number, since it uses less digits than its factorization.

3420135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205571 (or 205557 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3420135680 is about 58481.9260968720. The cubic root of 3420135680 is about 1506.6571783498.

The spelling of 3420135680 in words is "three billion, four hundred twenty million, one hundred thirty-five thousand, six hundred eighty".