3408081667264 has 112 divisors (see below), whose sum is σ = 7337479758336. Its totient is φ = 1564238643200.

The previous prime is 3408081667261. The next prime is 3408081667307. The reversal of 3408081667264 is 4627661808043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3408081667261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195062049 + ... + 195079519.

It is an arithmetic number, because the mean of its divisors is an integer number (65513212128).

Almost surely, 2^{3408081667264} is an apocalyptic number.

3408081667264 is a gapful number since it is divisible by the number (34) 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 3408081667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668739879168).

3408081667264 is an abundant number, since it is smaller than the sum of its proper divisors (3929398091072).

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

3408081667264 is a wasteful number, since it uses less digits than its factorization.

3408081667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21914 (or 21904 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 3408081667264 in words is "three trillion, four hundred eight billion, eighty-one million, six hundred sixty-seven thousand, two hundred sixty-four".