3396800448 has 280 divisors, whose sum is σ = 10857707520. Its totient is φ = 1046960640.

The previous prime is 3396800441. The next prime is 3396800483. The reversal of 3396800448 is 8440086933.

3396800448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396800441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3695733 + ... + 3696651.

Almost surely, 2^3396800448 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 3396800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428853760).

3396800448 is an abundant number, since it is smaller than the sum of its proper divisors (7460907072).

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

3396800448 is a wasteful number, since it uses less digits than its factorization.

3396800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3396800448 is about 58282.0765587500. The cubic root of 3396800448 is about 1503.2227668902. Note that the first 3 decimals are identical.

The spelling of 3396800448 in words is "three billion, three hundred ninety-six million, eight hundred thousand, four hundred forty-eight".