3450048000 has 640 divisors, whose sum is σ = 13972248576. Its totient is φ = 737280000.

The previous prime is 3450047989. The next prime is 3450048013. The reversal of 3450048000 is 8400543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22847925 + ... + 22848075.

Almost surely, 2^3450048000 is an apocalyptic number.

3450048000 is a gapful number since it is divisible by the number (30) 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 3450048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986124288).

3450048000 is an abundant number, since it is smaller than the sum of its proper divisors (10522200576).

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

3450048000 is a wasteful number, since it uses less digits than its factorization.

3450048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3450048000 is about 58737.1092240672. The cubic root of 3450048000 is about 1511.0368155193.

Adding to 3450048000 its reverse (8400543), we get a palindrome (3458448543).

The spelling of 3450048000 in words is "three billion, four hundred fifty million, forty-eight thousand".