3340814400 has 1008 divisors, whose sum is σ = 15565575168. Its totient is φ = 658944000.

The previous prime is 3340814369. The next prime is 3340814429. The reversal of 3340814400 is 44180433.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3340814400² = 22322081710494720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502335 + ... + 25502465.

Almost surely, 2^3340814400 is an apocalyptic number.

3340814400 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 3340814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782787584).

3340814400 is an abundant number, since it is smaller than the sum of its proper divisors (12224760768).

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

3340814400 is a wasteful number, since it uses less digits than its factorization.

3340814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3340814400 is about 57799.7785462886. The cubic root of 3340814400 is about 1494.9182701225.

Adding to 3340814400 its reverse (44180433), we get a palindrome (3384994833).

The spelling of 3340814400 in words is "three billion, three hundred forty million, eight hundred fourteen thousand, four hundred".