3405312 has 60 divisors (see below), whose sum is σ = 9841260. Its totient is φ = 1133568.

The previous prime is 3405301. The next prime is 3405359. The reversal of 3405312 is 2135043.

It is a super-2 number, since 2×3405312² = 23192299634688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4239 + ... + 4977.

It is an arithmetic number, because the mean of its divisors is an integer number (164021).

Almost surely, 2^3405312 is an apocalyptic number.

3405312 is a gapful number since it is divisible by the number (32) 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 3405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920630).

3405312 is an abundant number, since it is smaller than the sum of its proper divisors (6435948).

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

3405312 is an equidigital number, since it uses as much as digits as its factorization.

3405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

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

The square root of 3405312 is about 1845.3487475271. The cubic root of 3405312 is about 150.4477289290.

The spelling of 3405312 in words is "three million, four hundred five thousand, three hundred twelve".