3414468480 has 128 divisors (see below), whose sum is σ = 11021875200. Its totient is φ = 898959360.

The previous prime is 3414468469. The next prime is 3414468487. The reversal of 3414468480 is 848644143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414468487) by changing a digit.

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, 140425 + ... + 162935.

It is an arithmetic number, because the mean of its divisors is an integer number (86108400).

Almost surely, 2^3414468480 is an apocalyptic number.

3414468480 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 3414468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510937600).

3414468480 is an abundant number, since it is smaller than the sum of its proper divisors (7607406720).

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

3414468480 is a wasteful number, since it uses less digits than its factorization.

3414468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22612 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 3414468480 is about 58433.4534320880. The cubic root of 3414468480 is about 1505.8245361342.

The spelling of 3414468480 in words is "three billion, four hundred fourteen million, four hundred sixty-eight thousand, four hundred eighty".