3548020224 has 480 divisors, whose sum is σ = 12091368960. Its totient is φ = 917962752.

The previous prime is 3548020199. The next prime is 3548020261. The reversal of 3548020224 is 4220208453.

3548020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3548020191 and 3548020200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60135907 + ... + 60135965.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 2^3548020224 is an apocalyptic number.

3548020224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3548020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045684480).

3548020224 is an abundant number, since it is smaller than the sum of its proper divisors (8543348736).

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

3548020224 is a wasteful number, since it uses less digits than its factorization.

3548020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 3548020224 is about 59565.2602109653. The cubic root of 3548020224 is about 1525.2066689719.

Adding to 3548020224 its reverse (4220208453), we get a palindrome (7768228677).

It can be divided in two parts, 354 and 8020224, that multiplied together give a cube (2839159296 = 1416³).

The spelling of 3548020224 in words is "three billion, five hundred forty-eight million, twenty thousand, two hundred twenty-four".