3458353248 has 576 divisors, whose sum is σ = 12906915840. Its totient is φ = 854654976.

The previous prime is 3458353243. The next prime is 3458353279. The reversal of 3458353248 is 8423538543.

3458353248 is a `hidden beast` number, since 3 + 4 + 58 + 353 + 248 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458353243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30604840 + ... + 30604952.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^3458353248 is an apocalyptic number.

3458353248 is a gapful number since it is divisible by the number (38) 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 3458353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453457920).

3458353248 is an abundant number, since it is smaller than the sum of its proper divisors (9448562592).

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

3458353248 is a wasteful number, since it uses less digits than its factorization.

3458353248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 3458353248 is about 58807.7652015446. The cubic root of 3458353248 is about 1512.2483425120.

The spelling of 3458353248 in words is "three billion, four hundred fifty-eight million, three hundred fifty-three thousand, two hundred forty-eight".