3400320 has 256 divisors, whose sum is σ = 14100480. Its totient is φ = 675840.

The previous prime is 3400303. The next prime is 3400333. The reversal of 3400320 is 230043.

It is a super-2 number, since 2×3400320² = 23124352204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3400296 and 3400305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147829 + ... + 147851.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

Almost surely, 2^3400320 is an apocalyptic number.

3400320 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 3400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

3400320 is an abundant number, since it is smaller than the sum of its proper divisors (10700160).

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

3400320 is a wasteful number, since it uses less digits than its factorization.

3400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3400320 is about 1843.9956616001. The cubic root of 3400320 is about 150.3741769457.

Adding to 3400320 its reverse (230043), we get a palindrome (3630363).

The spelling of 3400320 in words is "three million, four hundred thousand, three hundred twenty".