3407068800 has 288 divisors, whose sum is σ = 12229446060. Its totient is φ = 903168000.

The previous prime is 3407068793. The next prime is 3407068823. The reversal of 3407068800 is 88607043.

It can be written as a sum of positive squares in 6 ways, for example, as 457275456 + 2949793344 = 21384^2 + 54312^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8092590 + ... + 8093010.

Almost surely, 2^3407068800 is an apocalyptic number.

3407068800 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 3407068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114723030).

3407068800 is an abundant number, since it is smaller than the sum of its proper divisors (8822377260).

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

3407068800 is a wasteful number, since it uses less digits than its factorization.

3407068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3407068800 is about 58370.1019358370. The cubic root of 3407068800 is about 1504.7359646887.

The spelling of 3407068800 in words is "three billion, four hundred seven million, sixty-eight thousand, eight hundred".