3438092448 has 432 divisors, whose sum is σ = 12189864960. Its totient is φ = 914457600.

The previous prime is 3438092443. The next prime is 3438092501. The reversal of 3438092448 is 8442908343.

3438092448 is a `hidden beast` number, since 3 + 43 + 80 + 92 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (3438092443) 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 71 ways as a sum of consecutive naturals, for example, 12686553 + ... + 12686823.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 2^3438092448 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 3438092448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094932480).

3438092448 is an abundant number, since it is smaller than the sum of its proper divisors (8751772512).

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

3438092448 is a wasteful number, since it uses less digits than its factorization.

3438092448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3438092448 is about 58635.2491936378. The cubic root of 3438092448 is about 1509.2893821630.

The spelling of 3438092448 in words is "three billion, four hundred thirty-eight million, ninety-two thousand, four hundred forty-eight".