3538388448 has 480 divisors, whose sum is σ = 12704186880. Its totient is φ = 944317440.

The previous prime is 3538388431. The next prime is 3538388489. The reversal of 3538388448 is 8448838353.

3538388448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3538388394 and 3538388403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25455963 + ... + 25456101.

It is an arithmetic number, because the mean of its divisors is an integer number (26467056).

Almost surely, 2^3538388448 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 3538388448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352093440).

3538388448 is an abundant number, since it is smaller than the sum of its proper divisors (9165798432).

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

3538388448 is a wasteful number, since it uses less digits than its factorization.

3538388448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 3538388448 is about 59484.3546489327. The cubic root of 3538388448 is about 1523.8252636167.

The spelling of 3538388448 in words is "three billion, five hundred thirty-eight million, three hundred eighty-eight thousand, four hundred forty-eight".