3414328448 has 48 divisors (see below), whose sum is σ = 6865994850. Its totient is φ = 1691246592.

The previous prime is 3414328447. The next prime is 3414328483. The reversal of 3414328448 is 8448234143.

It can be written as a sum of positive squares in 3 ways, for example, as 1561198144 + 1853130304 = 39512^2 + 43048^2 .

It is not an unprimeable number, because it can be changed into a prime (3414328447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1633388 + ... + 1635476.

Almost surely, 2^3414328448 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 3414328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432997425).

3414328448 is an abundant number, since it is smaller than the sum of its proper divisors (3451666402).

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

3414328448 is an equidigital number, since it uses as much as digits as its factorization.

3414328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2204 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 3414328448 is about 58432.2552020714. The cubic root of 3414328448 is about 1505.8039505482.

The spelling of 3414328448 in words is "three billion, four hundred fourteen million, three hundred twenty-eight thousand, four hundred forty-eight".