3414400440 has 64 divisors (see below), whose sum is σ = 11174405760. Its totient is φ = 827733120.

The previous prime is 3414400417. The next prime is 3414400469. The reversal of 3414400440 is 440044143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3414400440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292014 + ... + 1294653.

It is an arithmetic number, because the mean of its divisors is an integer number (174600090).

Almost surely, 2^3414400440 is an apocalyptic number.

3414400440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414400440 is an abundant number, since it is smaller than the sum of its proper divisors (7760005320).

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

3414400440 is a wasteful number, since it uses less digits than its factorization.

3414400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586692 (or 2586688 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3414400440 is about 58432.8712284447. The cubic root of 3414400440 is about 1505.8145338959.

Adding to 3414400440 its reverse (440044143), we get a palindrome (3854444583).

The spelling of 3414400440 in words is "three billion, four hundred fourteen million, four hundred thousand, four hundred forty".