3406936680 has 512 divisors, whose sum is σ = 14048640000. Its totient is φ = 731566080.

The previous prime is 3406936679. The next prime is 3406936693. The reversal of 3406936680 is 866396043.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6297210 + ... + 6297750.

It is an arithmetic number, because the mean of its divisors is an integer number (27438750).

Almost surely, 2^3406936680 is an apocalyptic number.

3406936680 is a gapful number since it is divisible by the number (30) 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 3406936680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024320000).

3406936680 is an abundant number, since it is smaller than the sum of its proper divisors (10641703320).

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

3406936680 is a wasteful number, since it uses less digits than its factorization.

3406936680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3406936680 is about 58368.9701810817. The cubic root of 3406936680 is about 1504.7165141192.

The spelling of 3406936680 in words is "three billion, four hundred six million, nine hundred thirty-six thousand, six hundred eighty".