3406682880 has 144 divisors (see below), whose sum is σ = 12089115360. Its totient is φ = 908439552.

The previous prime is 3406682861. The next prime is 3406682891. The reversal of 3406682880 is 882866043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 14727 + ... + 83846.

It is an arithmetic number, because the mean of its divisors is an integer number (83952190).

Almost surely, 2^3406682880 is an apocalyptic number.

3406682880 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 3406682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044557680).

3406682880 is an abundant number, since it is smaller than the sum of its proper divisors (8682432480).

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

3406682880 is an equidigital number, since it uses as much as digits as its factorization.

3406682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98603 (or 98583 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3406682880 is about 58366.7960402145. The cubic root of 3406682880 is about 1504.6791485353.

The spelling of 3406682880 in words is "three billion, four hundred six million, six hundred eighty-two thousand, eight hundred eighty".