3414448128 has 384 divisors, whose sum is σ = 11623772160. Its totient is φ = 867041280.

The previous prime is 3414448127. The next prime is 3414448133. The reversal of 3414448128 is 8218444143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414448127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17332126 + ... + 17332322.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^3414448128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811886080).

3414448128 is an abundant number, since it is smaller than the sum of its proper divisors (8209324032).

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

3414448128 is a wasteful number, since it uses less digits than its factorization.

3414448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 3414448128 is about 58433.2792850102. The cubic root of 3414448128 is about 1505.8215442970.

The spelling of 3414448128 in words is "three billion, four hundred fourteen million, four hundred forty-eight thousand, one hundred twenty-eight".