3400416 has 36 divisors (see below), whose sum is σ = 9670752. Its totient is φ = 1133376.

The previous prime is 3400409. The next prime is 3400457. The reversal of 3400416 is 6140043.

3400416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 2^3400416 is an apocalyptic number.

3400416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3400416 is an abundant number, since it is smaller than the sum of its proper divisors (6270336).

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

3400416 is a wasteful number, since it uses less digits than its factorization.

3400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11823 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3400416 is about 1844.0216918464. The cubic root of 3400416 is about 150.3755920856.

Adding to 3400416 its reverse (6140043), we get a palindrome (9540459).

The spelling of 3400416 in words is "three million, four hundred thousand, four hundred sixteen".