3406808160 has 720 divisors, whose sum is σ = 14865215904. Its totient is φ = 717299712.

The previous prime is 3406808159. The next prime is 3406808179. The reversal of 3406808160 is 618086043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72485257 + ... + 72485303.

Almost surely, 2^3406808160 is an apocalyptic number.

3406808160 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 3406808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432607952).

3406808160 is an abundant number, since it is smaller than the sum of its proper divisors (11458407744).

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

3406808160 is a wasteful number, since it uses less digits than its factorization.

3406808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3406808160 is about 58367.8692432746. The cubic root of 3406808160 is about 1504.6975930554.

The spelling of 3406808160 in words is "three billion, four hundred six million, eight hundred eight thousand, one hundred sixty".