3400440 has 64 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 884352.

The previous prime is 3400409. The next prime is 3400457. The reversal of 3400440 is 440043.

3400440 = T₃₇₆ + T₃₇₇ + ... + T₄₁₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4831 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (163350).

Almost surely, 2^3400440 is an apocalyptic number.

3400440 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 3400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

3400440 is an abundant number, since it is smaller than the sum of its proper divisors (7053960).

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

3400440 is a wasteful number, since it uses less digits than its factorization.

3400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3400440 is about 1844.0281993505. The cubic root of 3400440 is about 150.3759458664.

Adding to 3400440 its reverse (440043), we get a palindrome (3840483).

The spelling of 3400440 in words is "three million, four hundred thousand, four hundred forty".