3405780 has 192 divisors, whose sum is σ = 13063680. Its totient is φ = 718848.

The previous prime is 3405757. The next prime is 3405781. The reversal of 3405780 is 875043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64234 + ... + 64286.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

Almost surely, 2^3405780 is an apocalyptic number.

3405780 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 3405780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3405780 is an abundant number, since it is smaller than the sum of its proper divisors (9657900).

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

3405780 is a wasteful number, since it uses less digits than its factorization.

3405780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3405780 is about 1845.4755484698. The cubic root of 3405780 is about 150.4546207412.

The spelling of 3405780 in words is "three million, four hundred five thousand, seven hundred eighty".