3405600 has 216 divisors, whose sum is σ = 13405392. Its totient is φ = 806400.

The previous prime is 3405547. The next prime is 3405601. The reversal of 3405600 is 65043.

It is a happy number.

It is a super-2 number, since 2×3405600² = 23196222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3405601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79179 + ... + 79221.

It is an arithmetic number, because the mean of its divisors is an integer number (62062).

Almost surely, 2^3405600 is an apocalyptic number.

3405600 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 3405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

3405600 is an abundant number, since it is smaller than the sum of its proper divisors (9999792).

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

3405600 is a wasteful number, since it uses less digits than its factorization.

3405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3405600 is about 1845.4267799076. The cubic root of 3405600 is about 150.4519701189.

It can be divided in two parts, 3405 and 600, that added together give a triangular number (4005 = T₈₉).

The spelling of 3405600 in words is "three million, four hundred five thousand, six hundred".