3441414000 has 80 divisors (see below), whose sum is σ = 11095138080. Its totient is φ = 917708800.

The previous prime is 3441413959. The next prime is 3441414001. The reversal of 3441414000 is 4141443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280785 + ... + 292784.

It is an arithmetic number, because the mean of its divisors is an integer number (138689226).

Almost surely, 2^3441414000 is an apocalyptic number.

3441414000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441414000 is an abundant number, since it is smaller than the sum of its proper divisors (7653724080).

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

3441414000 is a wasteful number, since it uses less digits than its factorization.

3441414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573595 (or 573579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3441414000 is about 58663.5662059510. The cubic root of 3441414000 is about 1509.7752688081.

Adding to 3441414000 its reverse (4141443), we get a palindrome (3445555443).

The spelling of 3441414000 in words is "three billion, four hundred forty-one million, four hundred fourteen thousand".