3405578400 has 540 divisors, whose sum is σ = 14080688622. Its totient is φ = 774466560.

The previous prime is 3405578399. The next prime is 3405578417. The reversal of 3405578400 is 48755043.

3405578400 is a `hidden beast` number, since 3 + 40 + 5 + 578 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3253105296 + 152473104 = 57036^2 + 12348^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17287102 + ... + 17287298.

Almost surely, 2^3405578400 is an apocalyptic number.

3405578400 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 3405578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040344311).

3405578400 is an abundant number, since it is smaller than the sum of its proper divisors (10675110222).

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

3405578400 is a wasteful number, since it uses less digits than its factorization.

3405578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3405578400 is about 58357.3337293609. Note that the first 3 decimals coincide. The cubic root of 3405578400 is about 1504.5165203799.

The spelling of 3405578400 in words is "three billion, four hundred five million, five hundred seventy-eight thousand, four hundred".